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Finding the Fourth Proportional to 9,022.22, 13,517.84 and 8,109.18

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Solution

The fourth proportional to 9,022.22, 13,517.84 and 8,109.18 is: 12,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.22 : 13,517.84 = 8,109.18 : x
  2. Step 2: Convert to fraction form
    9,022.22/13,517.84 = 8,109.18/x
  3. Step 3: Cross multiply
    9,022.22x = 13,517.84 × 8,109.18
  4. Step 4: Simplify right side
    9,022.22x = 109,618,597.77
  5. Step 5: Solve for x
    x = 109,618,597.77/9,022.22
  6. Step 6: Final answer
    x = 12,149.85

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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.