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Finding the Fourth Proportional to 6,839.52, 9,439.92 and 5,344.48

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Solution

The fourth proportional to 6,839.52, 9,439.92 and 5,344.48 is: 7,376.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.52 : 9,439.92 = 5,344.48 : x
  2. Step 2: Convert to fraction form
    6,839.52/9,439.92 = 5,344.48/x
  3. Step 3: Cross multiply
    6,839.52x = 9,439.92 × 5,344.48
  4. Step 4: Simplify right side
    6,839.52x = 50,451,463.64
  5. Step 5: Solve for x
    x = 50,451,463.64/6,839.52
  6. Step 6: Final answer
    x = 7,376.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.