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Finding the Fourth Proportional to 6,982.12, 9,634.17 and 4,151.17

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Solution

The fourth proportional to 6,982.12, 9,634.17 and 4,151.17 is: 5,727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.12 : 9,634.17 = 4,151.17 : x
  2. Step 2: Convert to fraction form
    6,982.12/9,634.17 = 4,151.17/x
  3. Step 3: Cross multiply
    6,982.12x = 9,634.17 × 4,151.17
  4. Step 4: Simplify right side
    6,982.12x = 39,993,077.48
  5. Step 5: Solve for x
    x = 39,993,077.48/6,982.12
  6. Step 6: Final answer
    x = 5,727.93

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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.