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Finding the Fourth Proportional to 9,794.42, 14,691.96 and 3,221.11

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Solution

The fourth proportional to 9,794.42, 14,691.96 and 3,221.11 is: 4,831.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.42 : 14,691.96 = 3,221.11 : x
  2. Step 2: Convert to fraction form
    9,794.42/14,691.96 = 3,221.11/x
  3. Step 3: Cross multiply
    9,794.42x = 14,691.96 × 3,221.11
  4. Step 4: Simplify right side
    9,794.42x = 47,324,449.72
  5. Step 5: Solve for x
    x = 47,324,449.72/9,794.42
  6. Step 6: Final answer
    x = 4,831.78

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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.