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Kinsler homered in the first inning, hit a bases-loaded triple in the third that made it 9-0 and also singled. Texas had 11 hits by the third, including six for extra bases.
"It's tough as an offense to have every single guy going well," Kinsler said. "Right now it's happening. It seems like we're seeing a lot of pitches and making the pitchers work."
The Rangers, who have outscored opponents 39-12 during their winning streak, got 14 hits. The only Texas player without one was Adrian Beltre, who went 0 for 4 a day after hitting for the cycle.
"They've been doing that a lot for everybody, getting four or five runs in an inning," Dempster said. "The game plan is still the same. But you have a little leeway when one run is not going to change the game."
The AL West leaders have won eight of nine against the Twins this season.
"We're swinging the bat pretty well," Moreland said. "One through nine, there are no breaks."
Justin Morneau went 4 for 4 with a home run for Minnesota, which has lost five in a row and 14 of 16 overall.
Dempster allowed two runs in six innings and improved to 3-1 since he was acquired from the Cubs on July 31. He was 5-5 with Chicago.
After two shaky outings in his first three starts with Texas, Dempster has yielded just three runs in 14 innings over his last two starts. He struck out seven and walked two to beat the Twins for the second time this season.
Brian Duensing (3-9) gave up a career-worst nine runs in 2 1/3 innings. It was another disappointing outing for Minnesota's starting pitchers this series -- they have allowed 18 earned runs and 24 hits in 9 2/3 innings.
"It was really tough," Duensing said. "I had a bad day that came at the worst possible time."
Duensing was coming off one of his best outings of the season, having held Oakland to two runs in six innings on Monday. But the left-hander got off to a rough start when Kinsler drove his third pitch into the seats in left. It was Kinsler's 25th career leadoff homer.
Nelson Cruz added an RBI double in the first to make it 2-0.
Moreland's three-run homer in the second inning was the third-longest shot at the Rangers' stadium. Josh Hamilton hit the longest, a 490-foot drive in 2010.
Moreland made his first start against a left-hander this season.
"I come in every day ready to play," Moreland said. "I saw my name in the lineup and went out like I do every day."
Morneau's 17th home run of the season in the fourth was the first homer by Minnesota since Aug. 17. In the sixth, Morneau was thrown at home by Craig Gentry trying to score on a single to center.
|Ian Kinsler homers in the first inning and hits a three-run triple in the third to help stake the Rangers to an early 9-0 lead. (Getty Images)|
|Players of the Game|
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|Denard Span, CF||5||0||1||0||0||0||2||.288|
|Ben Revere, RF||4||1||1||0||1||2||0||.307|
|Joe Mauer, DH||4||0||1||1||0||2||3||.313|
|Josh Willingham, LF||4||0||0||0||0||2||4||.258|
|Justin Morneau, 1B||4||1||4||1||0||0||0||.276|
|Ryan Doumit, C||4||0||1||0||0||1||3||.285|
|Trevor Plouffe, 3B||3||0||0||0||1||0||2||.240|
|Jamey Carroll, 2B||4||1||2||0||0||1||3||.247|
|Pedro Florimon, SS||3||0||2||1||1||1||0||.321|
|2B - Ben Revere (13, Ross), Joe Mauer (26, Ross), Jamey Carroll (15, Dempster)|
|HR - Justin Morneau (17, Dempster)|
|RBI - Joe Mauer (65), Justin Morneau (60), Pedro Florimon (2)|
|2-OUT RBI - Joe Mauer (24), Justin Morneau (21)|
|SB - Ben Revere (30, 2nd base off Dempster/Soto)|
|Team LOB - 8|
|Outfield Assists - Ben Revere 1|
|DP - Revere-Morneau|
|E - Jamey Carroll (12, Throwing), Pedro Florimon (4, Misplayed grounder)|
|Brian Duensing (L,3-9)||2.1||10||9||9||1||3||2||5.28|
|Pitches-Strikes - Brian Duensing 74-44, Alex Burnett 38-24, Casey Fien 11-8, Tyler Robertson 10-7, Glen Perkins 14-10|
|Ground Balls-Fly Balls - Brian Duensing 1-2, Alex Burnett 3-5, Casey Fien 1-2, Tyler Robertson 2-0|
|Batters Faced - Brian Duensing 17, Alex Burnett 11, Casey Fien 4, Tyler Robertson 3, Glen Perkins 3|
|Ian Kinsler, 2B||5||1||3||4||0||0||2||.271|
|Elvis Andrus, SS||5||0||1||0||0||0||2||.297|
|Josh Hamilton, LF||4||1||2||0||0||1||0||.288|
|Adrian Beltre, 3B||4||0||0||0||0||1||2||.313|
|Nelson Cruz, DH||4||1||2||1||0||0||1||.265|
|David Murphy, RF||4||1||2||0||0||1||1||.316|
|Geovany Soto, C||4||2||2||1||0||1||0||.213|
|Craig Gentry, CF||3||2||1||0||1||0||2||.314|
|Mitch Moreland, 1B||4||1||1||3||0||2||5||.294|
|2B - Josh Hamilton (24, Duensing), Nelson Cruz 2 (34, Duensing, Duensing)|
|3B - Ian Kinsler (4, Burnett)|
|HR - Ian Kinsler (15, Duensing), Mitch Moreland (14, Duensing)|
|RBI - Ian Kinsler 4 (64), Nelson Cruz (75), Geovany Soto (26), Mitch Moreland 3 (43)|
|2-OUT RBI - Ian Kinsler 3 (26), Nelson Cruz (36)|
|CS - Elvis Andrus (8, 2nd base by Duensing/Doumit)|
|Team LOB - 5|
|Outfield Assists - Craig Gentry 1|
|DP - Moreland-Andrus, Andrus-Moreland, Andrus-Kinsler-Moreland|
|Ryan Dempster (W,8-6)||6||8||2||2||2||7||1||2.99|
|WP - Ryan Dempster (2)|
|Pitches-Strikes - Ryan Dempster 109-69, Robbie Ross 17-14, Mark Lowe 18-13, Tanner Scheppers 14-10|
|Ground Balls-Fly Balls - Ryan Dempster 3-6, Robbie Ross 1-1, Mark Lowe 1-1, Tanner Scheppers 1-0|
|Batters Faced - Ryan Dempster 26, Robbie Ross 5, Mark Lowe 4, Tanner Scheppers 3|
|Attendance - 44215|
|Game Time - 3:07|
|Temperature - 91|
|Umpires - Home - Chris Conroy, First Base - Mark Carlson, Second Base - Wally Bell, Third Base - Ed Hickox|