Chasing Kerala's challenging total of 152 for six, Baroda needed to score 127 to qualify as the top team in the group. The latter achieved it on the last ball of the match at the Wankhede Stadium when left-handed batsman Lukman Meriwala back cut K R Rakesh for a boundary when just one run was needed to make the grade.
In the other game at the Sharad Pawar Indoor Academy Ground at Bandra Kurla Complex, Rajasthan, who too had a slim chance to qualify on net run rate through a win, slumped to a seven-run defeat against Delhi and were knocked out.
Baroda will meet the winners of Group A, being held in Rajkot, in the final here on April 14 after tomorrow's break.
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In the first half of the match, Kerala's lower order helped them post a challenging score after they were held on a tight leash by Munaf Patel's superb first spell of 3-0-7-2.
Ironically, it was Patel, who conceded 19 runs in his last over, the 19th of the innings, when Raiphi Gomez, who top scored with an unbeaten 19-ball 42, struck him for two successive sixes over the straight field with impunity.
It was then given a shot in the arm by the 55-run stand in 30 balls for the sixth wicket between Jamal, who hit a six and four boundaries, and Gomez who slammed three sixes and as many fours.