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Finding the Fourth Proportional to 8,947.71, 12,342.16 and 5,496.78

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Solution

The fourth proportional to 8,947.71, 12,342.16 and 5,496.78 is: 7,582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.71 : 12,342.16 = 5,496.78 : x
  2. Step 2: Convert to fraction form
    8,947.71/12,342.16 = 5,496.78/x
  3. Step 3: Cross multiply
    8,947.71x = 12,342.16 × 5,496.78
  4. Step 4: Simplify right side
    8,947.71x = 67,842,151.87
  5. Step 5: Solve for x
    x = 67,842,151.87/8,947.71
  6. Step 6: Final answer
    x = 7,582.07

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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.