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Finding the Fourth Proportional to 9,414.92, 14,107.79 and 5,944.88

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Solution

The fourth proportional to 9,414.92, 14,107.79 and 5,944.88 is: 8,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.92 : 14,107.79 = 5,944.88 : x
  2. Step 2: Convert to fraction form
    9,414.92/14,107.79 = 5,944.88/x
  3. Step 3: Cross multiply
    9,414.92x = 14,107.79 × 5,944.88
  4. Step 4: Simplify right side
    9,414.92x = 83,869,018.35
  5. Step 5: Solve for x
    x = 83,869,018.35/9,414.92
  6. Step 6: Final answer
    x = 8,908.10

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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.