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Finding the Fourth Proportional to 6,499.28, 9,770.52 and 5,039.12

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Solution

The fourth proportional to 6,499.28, 9,770.52 and 5,039.12 is: 7,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.28 : 9,770.52 = 5,039.12 : x
  2. Step 2: Convert to fraction form
    6,499.28/9,770.52 = 5,039.12/x
  3. Step 3: Cross multiply
    6,499.28x = 9,770.52 × 5,039.12
  4. Step 4: Simplify right side
    6,499.28x = 49,234,822.74
  5. Step 5: Solve for x
    x = 49,234,822.74/6,499.28
  6. Step 6: Final answer
    x = 7,575.43

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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.