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Finding the Fourth Proportional to 8,922.74, 13,381.38 and 6,167.12

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Solution

The fourth proportional to 8,922.74, 13,381.38 and 6,167.12 is: 9,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922.74 : 13,381.38 = 6,167.12 : x
  2. Step 2: Convert to fraction form
    8,922.74/13,381.38 = 6,167.12/x
  3. Step 3: Cross multiply
    8,922.74x = 13,381.38 × 6,167.12
  4. Step 4: Simplify right side
    8,922.74x = 82,524,509.32
  5. Step 5: Solve for x
    x = 82,524,509.32/8,922.74
  6. Step 6: Final answer
    x = 9,248.79

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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.