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Finding the Fourth Proportional to 9,166.41, 13,727.12 and 8,278.92

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Solution

The fourth proportional to 9,166.41, 13,727.12 and 8,278.92 is: 12,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.41 : 13,727.12 = 8,278.92 : x
  2. Step 2: Convert to fraction form
    9,166.41/13,727.12 = 8,278.92/x
  3. Step 3: Cross multiply
    9,166.41x = 13,727.12 × 8,278.92
  4. Step 4: Simplify right side
    9,166.41x = 113,645,686.92
  5. Step 5: Solve for x
    x = 113,645,686.92/9,166.41
  6. Step 6: Final answer
    x = 12,398.06

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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.