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Finding the Fourth Proportional to 6,849.25, 9,451.97 and 3,865.72

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Solution

The fourth proportional to 6,849.25, 9,451.97 and 3,865.72 is: 5,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.25 : 9,451.97 = 3,865.72 : x
  2. Step 2: Convert to fraction form
    6,849.25/9,451.97 = 3,865.72/x
  3. Step 3: Cross multiply
    6,849.25x = 9,451.97 × 3,865.72
  4. Step 4: Simplify right side
    6,849.25x = 36,538,669.47
  5. Step 5: Solve for x
    x = 36,538,669.47/6,849.25
  6. Step 6: Final answer
    x = 5,334.70

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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.