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Finding the Fourth Proportional to 6,848.12, 9,449.33 and 3,863.88

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Solution

The fourth proportional to 6,848.12, 9,449.33 and 3,863.88 is: 5,331.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.12 : 9,449.33 = 3,863.88 : x
  2. Step 2: Convert to fraction form
    6,848.12/9,449.33 = 3,863.88/x
  3. Step 3: Cross multiply
    6,848.12x = 9,449.33 × 3,863.88
  4. Step 4: Simplify right side
    6,848.12x = 36,511,057.88
  5. Step 5: Solve for x
    x = 36,511,057.88/6,848.12
  6. Step 6: Final answer
    x = 5,331.54

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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.