ALBUQUERQUE, N.M. — Sen. Hillary Rodham Clinton finally won the popular vote in New Mexico's Democratic caucus and picked up one extra delegate yesterday, nine days after Super Tuesday voting ended.

State Democratic Chairman Brian Colon made the announcement after a marathon hand count of 17,000 provisional ballots that had to be given to voters on Feb. 5 because of long lines and a shortage of ballots. The final statewide count gave her a 1,709-vote edge over rival Sen. Barack Obama, 73,105, or 48.8 percent of the total vote, to 71,396, or 47.6 percent.

The former first lady's victory in the popular vote swung the final unallocated New Mexico delegate into her column, which gave Clinton 14 delegates in the state to 12 for Obama.

With the addition of New Mexico's delegate, the national delegate count stood yesterday at 1,276 for Obama and 1,220 for Clinton.

"I am so proud to have earned the support of New Mexicans from across the state," Clinton said in a written statement. "New Mexicans want real solutions to our nation's challenges. As president, I will continue to stand up for New Mexico and will hit the ground running on day one to bring about real change."