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Finding the Fourth Proportional to 6,502.48, 9,759.18 and 6,092.43

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Solution

The fourth proportional to 6,502.48, 9,759.18 and 6,092.43 is: 9,143.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.48 : 9,759.18 = 6,092.43 : x
  2. Step 2: Convert to fraction form
    6,502.48/9,759.18 = 6,092.43/x
  3. Step 3: Cross multiply
    6,502.48x = 9,759.18 × 6,092.43
  4. Step 4: Simplify right side
    6,502.48x = 59,457,121.01
  5. Step 5: Solve for x
    x = 59,457,121.01/6,502.48
  6. Step 6: Final answer
    x = 9,143.76

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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.