In 1997, despite an economy that marked its sixth full year of uninterrupted expansion with the lowest jobless rate in a quarter century, the number of United States citizens declaring themselves bankrupt has jumped by almost 20 percent, at 1.34 million.
declaring themselves bankrupt has jumped by almost 20 percent, at
declaring themselves bankrupt jumped by almost 20 percent, to
who declared themselves bankrupt has jumped by almost 20 percent, to
who declared themselves bankrupt jumped almost by 20 percent, at
to declare themselves bankrupt jumped almost by 20 percent, at
you can't say "jump at QUANTITY". here, "to" is correct.
on the other hand, if the word "at" is part of some other construction, such as a time marker, then it could appear:
consumer spending always jumps at the end of the year, when the holiday season arrives.
here, "jump at" isn't really a construction; it's just "jump", followed by "at the end of the year".
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