The question requires an understanding of ratios. Since the ratio is 3 to 2 to 1, the prize money of $12,000 was divided into (3+2+1), or 6, equal shares. Each of the shares was worth 1/6 of the total of $12,000, or $2,000. The third-place winner received one share, for a total of $2,000. The second-place winner received two shares, for a total of $4,000. The first-place winner received three shares, for a total of $6,000. The solution can be checked by adding the three prize amounts; that is, 2,000+4,000+6,000, and seeing that the total is $12,000.