Cabrera, who came into the game hitless in his previous 14 at-bats, finished with four hits, including an RBI double and a run-scoring single in the big third inning. Cabrera also had an RBI single in the fifth.
Alex Avila added a two-run double in the third and Delmon Young, Brennan Boesch and Ramon Santiago also had run-scoring hits in the inning as the Tigers knocked out Bartolo Colon (3-3) early in their highest-scoring game since putting up 13 runs against Boston in the third game of the season.
The Oakland A's tweeted: "Brandon Inge is the 2nd player in #Athletics history to hit 2 grand slams over a 3-game span; the other is Jimmie Foxx on Sept. 22-24, 1932."
KGO contributed to this report.