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Finding the Fourth Proportional to 6,414.66, 9,613.76 and 3,292.11

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Solution

The fourth proportional to 6,414.66, 9,613.76 and 3,292.11 is: 4,933.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.66 : 9,613.76 = 3,292.11 : x
  2. Step 2: Convert to fraction form
    6,414.66/9,613.76 = 3,292.11/x
  3. Step 3: Cross multiply
    6,414.66x = 9,613.76 × 3,292.11
  4. Step 4: Simplify right side
    6,414.66x = 31,649,538.97
  5. Step 5: Solve for x
    x = 31,649,538.97/6,414.66
  6. Step 6: Final answer
    x = 4,933.94

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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.