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Finding the Fourth Proportional to 6,344.62, 9,499.90 and 5,169.82

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Solution

The fourth proportional to 6,344.62, 9,499.90 and 5,169.82 is: 7,740.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.62 : 9,499.90 = 5,169.82 : x
  2. Step 2: Convert to fraction form
    6,344.62/9,499.90 = 5,169.82/x
  3. Step 3: Cross multiply
    6,344.62x = 9,499.90 × 5,169.82
  4. Step 4: Simplify right side
    6,344.62x = 49,112,773.02
  5. Step 5: Solve for x
    x = 49,112,773.02/6,344.62
  6. Step 6: Final answer
    x = 7,740.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.