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Finding the Fourth Proportional to 6,342.32, 9,508.32 and 4,255.97

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Solution

The fourth proportional to 6,342.32, 9,508.32 and 4,255.97 is: 6,380.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,342.32 : 9,508.32 = 4,255.97 : x
  2. Step 2: Convert to fraction form
    6,342.32/9,508.32 = 4,255.97/x
  3. Step 3: Cross multiply
    6,342.32x = 9,508.32 × 4,255.97
  4. Step 4: Simplify right side
    6,342.32x = 40,467,077.13
  5. Step 5: Solve for x
    x = 40,467,077.13/6,342.32
  6. Step 6: Final answer
    x = 6,380.48

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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.