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Finding the Fourth Proportional to 6,849.25, 9,452.40 and 3,863.99

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Solution

The fourth proportional to 6,849.25, 9,452.40 and 3,863.99 is: 5,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.25 : 9,452.40 = 3,863.99 : x
  2. Step 2: Convert to fraction form
    6,849.25/9,452.40 = 3,863.99/x
  3. Step 3: Cross multiply
    6,849.25x = 9,452.40 × 3,863.99
  4. Step 4: Simplify right side
    6,849.25x = 36,523,979.08
  5. Step 5: Solve for x
    x = 36,523,979.08/6,849.25
  6. Step 6: Final answer
    x = 5,332.55

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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.