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Finding the Fourth Proportional to 9,729.75, 13,414.78 and 6,367.24

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Solution

The fourth proportional to 9,729.75, 13,414.78 and 6,367.24 is: 8,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.75 : 13,414.78 = 6,367.24 : x
  2. Step 2: Convert to fraction form
    9,729.75/13,414.78 = 6,367.24/x
  3. Step 3: Cross multiply
    9,729.75x = 13,414.78 × 6,367.24
  4. Step 4: Simplify right side
    9,729.75x = 85,415,123.81
  5. Step 5: Solve for x
    x = 85,415,123.81/9,729.75
  6. Step 6: Final answer
    x = 8,778.76

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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.