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Finding the Fourth Proportional to 6,346.38, 9,474.15 and 5,516.24

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Solution

The fourth proportional to 6,346.38, 9,474.15 and 5,516.24 is: 8,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.38 : 9,474.15 = 5,516.24 : x
  2. Step 2: Convert to fraction form
    6,346.38/9,474.15 = 5,516.24/x
  3. Step 3: Cross multiply
    6,346.38x = 9,474.15 × 5,516.24
  4. Step 4: Simplify right side
    6,346.38x = 52,261,637.83
  5. Step 5: Solve for x
    x = 52,261,637.83/6,346.38
  6. Step 6: Final answer
    x = 8,234.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.