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Finding the Fourth Proportional to 6,156.61, 9,234.83 and 4,177.31

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Solution

The fourth proportional to 6,156.61, 9,234.83 and 4,177.31 is: 6,265.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.61 : 9,234.83 = 4,177.31 : x
  2. Step 2: Convert to fraction form
    6,156.61/9,234.83 = 4,177.31/x
  3. Step 3: Cross multiply
    6,156.61x = 9,234.83 × 4,177.31
  4. Step 4: Simplify right side
    6,156.61x = 38,576,711.98
  5. Step 5: Solve for x
    x = 38,576,711.98/6,156.61
  6. Step 6: Final answer
    x = 6,265.90

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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.