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Finding the Fourth Proportional to 6,981.95, 9,634.89 and 3,997.68

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Solution

The fourth proportional to 6,981.95, 9,634.89 and 3,997.68 is: 5,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.95 : 9,634.89 = 3,997.68 : x
  2. Step 2: Convert to fraction form
    6,981.95/9,634.89 = 3,997.68/x
  3. Step 3: Cross multiply
    6,981.95x = 9,634.89 × 3,997.68
  4. Step 4: Simplify right side
    6,981.95x = 38,517,207.06
  5. Step 5: Solve for x
    x = 38,517,207.06/6,981.95
  6. Step 6: Final answer
    x = 5,516.68

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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.