Final answer:
The conclusion supported by the proportion 3/9=9/27 is that both fractions are equivalent to 1/3, demonstrating an equal relationship between two sets of numbers.
Step-by-step explanation:
The proportion 3/9=9/27 supports the conclusion that the two fractions are equivalent because both can be simplified to the same fraction 1/3. This is an example of the mathematical property of equivalent ratios, where two ratios are considered equivalent if you can multiply or divide both terms of the first ratio by the same number to get the second ratio.
When we simplify 3/9, by dividing both the numerator and the denominator by 3, we get 1/3. Similarly, simplifying 9/27, by dividing both terms by 9, also gives us 1/3. This demonstrates that the original proportion is correct and shows an equal relationship between two sets of numbers.