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Finding the Fourth Proportional to 6,113.38, 9,174.67 and 4,474.15

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Solution

The fourth proportional to 6,113.38, 9,174.67 and 4,474.15 is: 6,714.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.38 : 9,174.67 = 4,474.15 : x
  2. Step 2: Convert to fraction form
    6,113.38/9,174.67 = 4,474.15/x
  3. Step 3: Cross multiply
    6,113.38x = 9,174.67 × 4,474.15
  4. Step 4: Simplify right side
    6,113.38x = 41,048,849.78
  5. Step 5: Solve for x
    x = 41,048,849.78/6,113.38
  6. Step 6: Final answer
    x = 6,714.59

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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.