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Finding the Fourth Proportional to 9,906.80, 14,850.12 and 5,523.44

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Solution

The fourth proportional to 9,906.80, 14,850.12 and 5,523.44 is: 8,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.80 : 14,850.12 = 5,523.44 : x
  2. Step 2: Convert to fraction form
    9,906.80/14,850.12 = 5,523.44/x
  3. Step 3: Cross multiply
    9,906.80x = 14,850.12 × 5,523.44
  4. Step 4: Simplify right side
    9,906.80x = 82,023,746.81
  5. Step 5: Solve for x
    x = 82,023,746.81/9,906.80
  6. Step 6: Final answer
    x = 8,279.54

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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.