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Finding the Fourth Proportional to 6,685.14, 9,225.13 and 3,996.41

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Solution

The fourth proportional to 6,685.14, 9,225.13 and 3,996.41 is: 5,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.14 : 9,225.13 = 3,996.41 : x
  2. Step 2: Convert to fraction form
    6,685.14/9,225.13 = 3,996.41/x
  3. Step 3: Cross multiply
    6,685.14x = 9,225.13 × 3,996.41
  4. Step 4: Simplify right side
    6,685.14x = 36,867,414.86
  5. Step 5: Solve for x
    x = 36,867,414.86/6,685.14
  6. Step 6: Final answer
    x = 5,514.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.