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Finding the Fourth Proportional to 6,134.25, 9,200.85 and 3,794.61

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Solution

The fourth proportional to 6,134.25, 9,200.85 and 3,794.61 is: 5,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.25 : 9,200.85 = 3,794.61 : x
  2. Step 2: Convert to fraction form
    6,134.25/9,200.85 = 3,794.61/x
  3. Step 3: Cross multiply
    6,134.25x = 9,200.85 × 3,794.61
  4. Step 4: Simplify right side
    6,134.25x = 34,913,637.42
  5. Step 5: Solve for x
    x = 34,913,637.42/6,134.25
  6. Step 6: Final answer
    x = 5,691.59

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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.