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Finding the Fourth Proportional to 6,539.25, 9,024.17 and 3,744.75

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Solution

The fourth proportional to 6,539.25, 9,024.17 and 3,744.75 is: 5,167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.25 : 9,024.17 = 3,744.75 : x
  2. Step 2: Convert to fraction form
    6,539.25/9,024.17 = 3,744.75/x
  3. Step 3: Cross multiply
    6,539.25x = 9,024.17 × 3,744.75
  4. Step 4: Simplify right side
    6,539.25x = 33,793,260.61
  5. Step 5: Solve for x
    x = 33,793,260.61/6,539.25
  6. Step 6: Final answer
    x = 5,167.76

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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.