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Finding the Fourth Proportional to 6,514.32, 9,753.26 and 3,387.52

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Solution

The fourth proportional to 6,514.32, 9,753.26 and 3,387.52 is: 5,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.32 : 9,753.26 = 3,387.52 : x
  2. Step 2: Convert to fraction form
    6,514.32/9,753.26 = 3,387.52/x
  3. Step 3: Cross multiply
    6,514.32x = 9,753.26 × 3,387.52
  4. Step 4: Simplify right side
    6,514.32x = 33,039,377.62
  5. Step 5: Solve for x
    x = 33,039,377.62/6,514.32
  6. Step 6: Final answer
    x = 5,071.80

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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.