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Finding the Fourth Proportional to 8,947.89, 12,349.17 and 5,411.43

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Solution

The fourth proportional to 8,947.89, 12,349.17 and 5,411.43 is: 7,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.89 : 12,349.17 = 5,411.43 : x
  2. Step 2: Convert to fraction form
    8,947.89/12,349.17 = 5,411.43/x
  3. Step 3: Cross multiply
    8,947.89x = 12,349.17 × 5,411.43
  4. Step 4: Simplify right side
    8,947.89x = 66,826,669.01
  5. Step 5: Solve for x
    x = 66,826,669.01/8,947.89
  6. Step 6: Final answer
    x = 7,468.43

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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.