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Finding the Fourth Proportional to 6,613.41, 9,920.12 and 2,666.46

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Solution

The fourth proportional to 6,613.41, 9,920.12 and 2,666.46 is: 3,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.41 : 9,920.12 = 2,666.46 : x
  2. Step 2: Convert to fraction form
    6,613.41/9,920.12 = 2,666.46/x
  3. Step 3: Cross multiply
    6,613.41x = 9,920.12 × 2,666.46
  4. Step 4: Simplify right side
    6,613.41x = 26,451,589.84
  5. Step 5: Solve for x
    x = 26,451,589.84/6,613.41
  6. Step 6: Final answer
    x = 3,999.69

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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.