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Finding the Fourth Proportional to 6,849.76, 9,452.40 and 3,865.12

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Solution

The fourth proportional to 6,849.76, 9,452.40 and 3,865.12 is: 5,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.76 : 9,452.40 = 3,865.12 : x
  2. Step 2: Convert to fraction form
    6,849.76/9,452.40 = 3,865.12/x
  3. Step 3: Cross multiply
    6,849.76x = 9,452.40 × 3,865.12
  4. Step 4: Simplify right side
    6,849.76x = 36,534,660.29
  5. Step 5: Solve for x
    x = 36,534,660.29/6,849.76
  6. Step 6: Final answer
    x = 5,333.71

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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.