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Finding the Fourth Proportional to 6,981.39, 9,635.08 and 3,998.21

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Solution

The fourth proportional to 6,981.39, 9,635.08 and 3,998.21 is: 5,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.39 : 9,635.08 = 3,998.21 : x
  2. Step 2: Convert to fraction form
    6,981.39/9,635.08 = 3,998.21/x
  3. Step 3: Cross multiply
    6,981.39x = 9,635.08 × 3,998.21
  4. Step 4: Simplify right side
    6,981.39x = 38,523,059.11
  5. Step 5: Solve for x
    x = 38,523,059.11/6,981.39
  6. Step 6: Final answer
    x = 5,517.96

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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.