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Finding the Fourth Proportional to 9,239.97, 13,847.90 and 4,240.53

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Solution

The fourth proportional to 9,239.97, 13,847.90 and 4,240.53 is: 6,355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.97 : 13,847.90 = 4,240.53 : x
  2. Step 2: Convert to fraction form
    9,239.97/13,847.90 = 4,240.53/x
  3. Step 3: Cross multiply
    9,239.97x = 13,847.90 × 4,240.53
  4. Step 4: Simplify right side
    9,239.97x = 58,722,414.18
  5. Step 5: Solve for x
    x = 58,722,414.18/9,239.97
  6. Step 6: Final answer
    x = 6,355.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.