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Finding the Fourth Proportional to 8,947.87, 12,348.25 and 5,171.14

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Solution

The fourth proportional to 8,947.87, 12,348.25 and 5,171.14 is: 7,136.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.87 : 12,348.25 = 5,171.14 : x
  2. Step 2: Convert to fraction form
    8,947.87/12,348.25 = 5,171.14/x
  3. Step 3: Cross multiply
    8,947.87x = 12,348.25 × 5,171.14
  4. Step 4: Simplify right side
    8,947.87x = 63,854,532.01
  5. Step 5: Solve for x
    x = 63,854,532.01/8,947.87
  6. Step 6: Final answer
    x = 7,136.28

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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.