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Finding the Fourth Proportional to 6,104.43, 9,134.78 and 5,285.52

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Solution

The fourth proportional to 6,104.43, 9,134.78 and 5,285.52 is: 7,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.43 : 9,134.78 = 5,285.52 : x
  2. Step 2: Convert to fraction form
    6,104.43/9,134.78 = 5,285.52/x
  3. Step 3: Cross multiply
    6,104.43x = 9,134.78 × 5,285.52
  4. Step 4: Simplify right side
    6,104.43x = 48,282,035.96
  5. Step 5: Solve for x
    x = 48,282,035.96/6,104.43
  6. Step 6: Final answer
    x = 7,909.34

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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.