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Finding the Fourth Proportional to 9,532.71, 13,151.98 and 5,754.43

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Solution

The fourth proportional to 9,532.71, 13,151.98 and 5,754.43 is: 7,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.71 : 13,151.98 = 5,754.43 : x
  2. Step 2: Convert to fraction form
    9,532.71/13,151.98 = 5,754.43/x
  3. Step 3: Cross multiply
    9,532.71x = 13,151.98 × 5,754.43
  4. Step 4: Simplify right side
    9,532.71x = 75,682,148.27
  5. Step 5: Solve for x
    x = 75,682,148.27/9,532.71
  6. Step 6: Final answer
    x = 7,939.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.