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Finding the Fourth Proportional to 6,851.15, 9,454.56 and 3,866.97

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Solution

The fourth proportional to 6,851.15, 9,454.56 and 3,866.97 is: 5,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.15 : 9,454.56 = 3,866.97 : x
  2. Step 2: Convert to fraction form
    6,851.15/9,454.56 = 3,866.97/x
  3. Step 3: Cross multiply
    6,851.15x = 9,454.56 × 3,866.97
  4. Step 4: Simplify right side
    6,851.15x = 36,560,499.88
  5. Step 5: Solve for x
    x = 36,560,499.88/6,851.15
  6. Step 6: Final answer
    x = 5,336.41

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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.