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Finding the Fourth Proportional to 9,905.62, 14,857.68 and 3,662.71

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Solution

The fourth proportional to 9,905.62, 14,857.68 and 3,662.71 is: 5,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,905.62 : 14,857.68 = 3,662.71 : x
  2. Step 2: Convert to fraction form
    9,905.62/14,857.68 = 3,662.71/x
  3. Step 3: Cross multiply
    9,905.62x = 14,857.68 × 3,662.71
  4. Step 4: Simplify right side
    9,905.62x = 54,419,373.11
  5. Step 5: Solve for x
    x = 54,419,373.11/9,905.62
  6. Step 6: Final answer
    x = 5,493.79

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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.