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Final answer:The geometric mean of 9 and 9/4 is found by multiplying the two numbers to get 81/4 and then taking the square root of the product, which results in 9/2.Explanation:The question asks us to determine the geometric mean of the numbers 9 and 9/4. The geometric mean of two numbers is calculated by multiplying them together and then taking the square root of the product. Let's perform the calculation step by step:Multiply the two numbers: 9 * (9/4) = 81/4.Take the square root of the product: √(81/4) = √81 / √4 = 9/2.Therefore, the geometric mean of 9 and 9/4 is 9/2....

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