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Finding the Fourth Proportional to 9,685.28, 14,509.17 and 5,672.97

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Solution

The fourth proportional to 9,685.28, 14,509.17 and 5,672.97 is: 8,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.28 : 14,509.17 = 5,672.97 : x
  2. Step 2: Convert to fraction form
    9,685.28/14,509.17 = 5,672.97/x
  3. Step 3: Cross multiply
    9,685.28x = 14,509.17 × 5,672.97
  4. Step 4: Simplify right side
    9,685.28x = 82,310,086.13
  5. Step 5: Solve for x
    x = 82,310,086.13/9,685.28
  6. Step 6: Final answer
    x = 8,498.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.