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Finding the Fourth Proportional to 8,947.83, 12,344.90 and 5,542.19

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Solution

The fourth proportional to 8,947.83, 12,344.90 and 5,542.19 is: 7,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.83 : 12,344.90 = 5,542.19 : x
  2. Step 2: Convert to fraction form
    8,947.83/12,344.90 = 5,542.19/x
  3. Step 3: Cross multiply
    8,947.83x = 12,344.90 × 5,542.19
  4. Step 4: Simplify right side
    8,947.83x = 68,417,691.90
  5. Step 5: Solve for x
    x = 68,417,691.90/8,947.83
  6. Step 6: Final answer
    x = 7,646.29

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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.