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Finding the Fourth Proportional to 6,339.80, 9,508.19 and 2,642.09

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Solution

The fourth proportional to 6,339.80, 9,508.19 and 2,642.09 is: 3,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.80 : 9,508.19 = 2,642.09 : x
  2. Step 2: Convert to fraction form
    6,339.80/9,508.19 = 2,642.09/x
  3. Step 3: Cross multiply
    6,339.80x = 9,508.19 × 2,642.09
  4. Step 4: Simplify right side
    6,339.80x = 25,121,432.97
  5. Step 5: Solve for x
    x = 25,121,432.97/6,339.80
  6. Step 6: Final answer
    x = 3,962.49

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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.