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Finding the Fourth Proportional to 9,168.57, 13,766.90 and 8,082.09

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Solution

The fourth proportional to 9,168.57, 13,766.90 and 8,082.09 is: 12,135.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.57 : 13,766.90 = 8,082.09 : x
  2. Step 2: Convert to fraction form
    9,168.57/13,766.90 = 8,082.09/x
  3. Step 3: Cross multiply
    9,168.57x = 13,766.90 × 8,082.09
  4. Step 4: Simplify right side
    9,168.57x = 111,265,284.41
  5. Step 5: Solve for x
    x = 111,265,284.41/9,168.57
  6. Step 6: Final answer
    x = 12,135.51

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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.