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Finding the Fourth Proportional to 9,414.17, 14,138.79 and 8,288.82

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Solution

The fourth proportional to 9,414.17, 14,138.79 and 8,288.82 is: 12,448.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.17 : 14,138.79 = 8,288.82 : x
  2. Step 2: Convert to fraction form
    9,414.17/14,138.79 = 8,288.82/x
  3. Step 3: Cross multiply
    9,414.17x = 14,138.79 × 8,288.82
  4. Step 4: Simplify right side
    9,414.17x = 117,193,885.33
  5. Step 5: Solve for x
    x = 117,193,885.33/9,414.17
  6. Step 6: Final answer
    x = 12,448.68

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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.