Which ratios can form a proportion?

9/45, 8/40
8/12, 12/21
8/12, 12/15
9/22, 14/28

9/45, 8/40

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What is the answer

9/45 8/40 i guess

I think it is 9/45 and 8/40

is that right though?

To determine which ratios can form a proportion, we need to check if the ratios are equal. In a proportion, the cross products (the product of the numerator of the first ratio and the denominator of the second ratio, and the product of the denominator of the first ratio and the numerator of the second ratio) should be equal.

Let's check each set of ratios:

1. 9/45 and 8/40:
Cross products: (9 x 40 = 360) and (45 x 8 = 360)
Since the cross products are equal (360 = 360), these ratios form a proportion.

2. 8/12 and 12/21:
Cross products: (8 x 21 = 168) and (12 x 12 = 144)
The cross products are not equal (168 ≠ 144), so these ratios do not form a proportion.

3. 8/12 and 12/15:
Cross products: (8 x 15 = 120) and (12 x 12 = 144)
The cross products are not equal (120 ≠ 144), so these ratios do not form a proportion.

4. 9/22 and 14/28:
Cross products: (9 x 28 = 252) and (22 x 14 = 308)
The cross products are not equal (252 ≠ 308), so these ratios do not form a proportion.

Therefore, the ratios that form a proportion are 9/45 and 8/40.

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