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Finding the Fourth Proportional to 9,414.92, 14,105.16 and 4,408.10

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Solution

The fourth proportional to 9,414.92, 14,105.16 and 4,408.10 is: 6,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.92 : 14,105.16 = 4,408.10 : x
  2. Step 2: Convert to fraction form
    9,414.92/14,105.16 = 4,408.10/x
  3. Step 3: Cross multiply
    9,414.92x = 14,105.16 × 4,408.10
  4. Step 4: Simplify right side
    9,414.92x = 62,176,991.06
  5. Step 5: Solve for x
    x = 62,176,991.06/9,414.92
  6. Step 6: Final answer
    x = 6,604.09

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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.