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Finding the Fourth Proportional to 6,982.88, 9,636.57 and 3,839.27

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Solution

The fourth proportional to 6,982.88, 9,636.57 and 3,839.27 is: 5,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.88 : 9,636.57 = 3,839.27 : x
  2. Step 2: Convert to fraction form
    6,982.88/9,636.57 = 3,839.27/x
  3. Step 3: Cross multiply
    6,982.88x = 9,636.57 × 3,839.27
  4. Step 4: Simplify right side
    6,982.88x = 36,997,345.92
  5. Step 5: Solve for x
    x = 36,997,345.92/6,982.88
  6. Step 6: Final answer
    x = 5,298.30

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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.