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Finding the Fourth Proportional to 7,092.50, 9,787.66 and 3,948.90

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Solution

The fourth proportional to 7,092.50, 9,787.66 and 3,948.90 is: 5,449.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.50 : 9,787.66 = 3,948.90 : x
  2. Step 2: Convert to fraction form
    7,092.50/9,787.66 = 3,948.90/x
  3. Step 3: Cross multiply
    7,092.50x = 9,787.66 × 3,948.90
  4. Step 4: Simplify right side
    7,092.50x = 38,650,490.57
  5. Step 5: Solve for x
    x = 38,650,490.57/7,092.50
  6. Step 6: Final answer
    x = 5,449.49

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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.