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Finding the Fourth Proportional to 9,414.87, 13,006.03 and 7,523.97

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Solution

The fourth proportional to 9,414.87, 13,006.03 and 7,523.97 is: 10,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.87 : 13,006.03 = 7,523.97 : x
  2. Step 2: Convert to fraction form
    9,414.87/13,006.03 = 7,523.97/x
  3. Step 3: Cross multiply
    9,414.87x = 13,006.03 × 7,523.97
  4. Step 4: Simplify right side
    9,414.87x = 97,856,979.54
  5. Step 5: Solve for x
    x = 97,856,979.54/9,414.87
  6. Step 6: Final answer
    x = 10,393.87

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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.