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Finding the Fourth Proportional to 6,174.70, 9,249.90 and 3,702.18

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Solution

The fourth proportional to 6,174.70, 9,249.90 and 3,702.18 is: 5,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.70 : 9,249.90 = 3,702.18 : x
  2. Step 2: Convert to fraction form
    6,174.70/9,249.90 = 3,702.18/x
  3. Step 3: Cross multiply
    6,174.70x = 9,249.90 × 3,702.18
  4. Step 4: Simplify right side
    6,174.70x = 34,244,794.78
  5. Step 5: Solve for x
    x = 34,244,794.78/6,174.70
  6. Step 6: Final answer
    x = 5,545.99

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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.