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Finding the Fourth Proportional to 6,850.17, 9,452.28 and 3,824.92

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Solution

The fourth proportional to 6,850.17, 9,452.28 and 3,824.92 is: 5,277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.17 : 9,452.28 = 3,824.92 : x
  2. Step 2: Convert to fraction form
    6,850.17/9,452.28 = 3,824.92/x
  3. Step 3: Cross multiply
    6,850.17x = 9,452.28 × 3,824.92
  4. Step 4: Simplify right side
    6,850.17x = 36,154,209.01
  5. Step 5: Solve for x
    x = 36,154,209.01/6,850.17
  6. Step 6: Final answer
    x = 5,277.86

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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.