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The option that is a proportion is: B. 4/6 = 2/3.
A proportion can be defined as an equation whereby two ratios are set equal to each other, in such a way that the ratio on one side equals the ratio on the other side of the equation when simplified.
First Option is not a proportion because:
5/7 ≠ 10/12 (10/12 can be simplified further as 5/6, which is not equal to 5/7).
Second option is a proportion because:
4/6 = 2/3
8/12 = 2/3
Thus, 4/6 = 8/12.
Third Option is not a proportion because:
14/21 = 2/3
9/12 = 3/4
Therefore, 14/21 ≠ 9/12.
Fourth Option is not a proportion because:
9/15 = 3/5
12/18 = 2/3
Therefore, 9/15 ≠ 12/18.
In conclusion, the option that is a proportion is: B. 4/6 = 2/3.
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