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Finding the Fourth Proportional to 6,981.71, 9,634.75 and 3,997.40

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Solution

The fourth proportional to 6,981.71, 9,634.75 and 3,997.40 is: 5,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,981.71 : 9,634.75 = 3,997.40 : x
  2. Step 2: Convert to fraction form
    6,981.71/9,634.75 = 3,997.40/x
  3. Step 3: Cross multiply
    6,981.71x = 9,634.75 × 3,997.40
  4. Step 4: Simplify right side
    6,981.71x = 38,513,891.48
  5. Step 5: Solve for x
    x = 38,513,891.48/6,981.71
  6. Step 6: Final answer
    x = 5,516.40

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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.