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Finding the Fourth Proportional to 9,729.22, 13,414.23 and 8,114.85

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Solution

The fourth proportional to 9,729.22, 13,414.23 and 8,114.85 is: 11,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.22 : 13,414.23 = 8,114.85 : x
  2. Step 2: Convert to fraction form
    9,729.22/13,414.23 = 8,114.85/x
  3. Step 3: Cross multiply
    9,729.22x = 13,414.23 × 8,114.85
  4. Step 4: Simplify right side
    9,729.22x = 108,854,464.08
  5. Step 5: Solve for x
    x = 108,854,464.08/9,729.22
  6. Step 6: Final answer
    x = 11,188.41

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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.