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Finding the Fourth Proportional to 6,342.72, 9,516 and 3,425.28

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Solution

The fourth proportional to 6,342.72, 9,516 and 3,425.28 is: 5,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.72 : 9,516 = 3,425.28 : x
  2. Step 2: Convert to fraction form
    6,342.72/9,516 = 3,425.28/x
  3. Step 3: Cross multiply
    6,342.72x = 9,516 × 3,425.28
  4. Step 4: Simplify right side
    6,342.72x = 32,594,964.48
  5. Step 5: Solve for x
    x = 32,594,964.48/6,342.72
  6. Step 6: Final answer
    x = 5,138.96

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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.