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Finding the Fourth Proportional to 6,594.92, 9,902.43 and 5,761.53

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Solution

The fourth proportional to 6,594.92, 9,902.43 and 5,761.53 is: 8,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.92 : 9,902.43 = 5,761.53 : x
  2. Step 2: Convert to fraction form
    6,594.92/9,902.43 = 5,761.53/x
  3. Step 3: Cross multiply
    6,594.92x = 9,902.43 × 5,761.53
  4. Step 4: Simplify right side
    6,594.92x = 57,053,147.52
  5. Step 5: Solve for x
    x = 57,053,147.52/6,594.92
  6. Step 6: Final answer
    x = 8,651.07

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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.