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Finding the Fourth Proportional to 6,514.16, 9,755.51 and 3,732.39

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Solution

The fourth proportional to 6,514.16, 9,755.51 and 3,732.39 is: 5,589.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.16 : 9,755.51 = 3,732.39 : x
  2. Step 2: Convert to fraction form
    6,514.16/9,755.51 = 3,732.39/x
  3. Step 3: Cross multiply
    6,514.16x = 9,755.51 × 3,732.39
  4. Step 4: Simplify right side
    6,514.16x = 36,411,377.30
  5. Step 5: Solve for x
    x = 36,411,377.30/6,514.16
  6. Step 6: Final answer
    x = 5,589.57

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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.