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Finding the Fourth Proportional to 6,981.60, 9,633.84 and 3,998.24

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Solution

The fourth proportional to 6,981.60, 9,633.84 and 3,998.24 is: 5,517.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.60 : 9,633.84 = 3,998.24 : x
  2. Step 2: Convert to fraction form
    6,981.60/9,633.84 = 3,998.24/x
  3. Step 3: Cross multiply
    6,981.60x = 9,633.84 × 3,998.24
  4. Step 4: Simplify right side
    6,981.60x = 38,518,404.44
  5. Step 5: Solve for x
    x = 38,518,404.44/6,981.60
  6. Step 6: Final answer
    x = 5,517.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.