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Finding the Fourth Proportional to 9,902.09, 14,854.77 and 3,662.12

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Solution

The fourth proportional to 9,902.09, 14,854.77 and 3,662.12 is: 5,493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.09 : 14,854.77 = 3,662.12 : x
  2. Step 2: Convert to fraction form
    9,902.09/14,854.77 = 3,662.12/x
  3. Step 3: Cross multiply
    9,902.09x = 14,854.77 × 3,662.12
  4. Step 4: Simplify right side
    9,902.09x = 54,399,876.04
  5. Step 5: Solve for x
    x = 54,399,876.04/9,902.09
  6. Step 6: Final answer
    x = 5,493.78

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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.