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Finding the Fourth Proportional to 6,613.74, 9,920.16 and 3,657.96

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Solution

The fourth proportional to 6,613.74, 9,920.16 and 3,657.96 is: 5,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,613.74 : 9,920.16 = 3,657.96 : x
  2. Step 2: Convert to fraction form
    6,613.74/9,920.16 = 3,657.96/x
  3. Step 3: Cross multiply
    6,613.74x = 9,920.16 × 3,657.96
  4. Step 4: Simplify right side
    6,613.74x = 36,287,548.47
  5. Step 5: Solve for x
    x = 36,287,548.47/6,613.74
  6. Step 6: Final answer
    x = 5,486.69

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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.