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Finding the Fourth Proportional to 6,883.56, 9,498.97 and 3,899.31

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Solution

The fourth proportional to 6,883.56, 9,498.97 and 3,899.31 is: 5,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.56 : 9,498.97 = 3,899.31 : x
  2. Step 2: Convert to fraction form
    6,883.56/9,498.97 = 3,899.31/x
  3. Step 3: Cross multiply
    6,883.56x = 9,498.97 × 3,899.31
  4. Step 4: Simplify right side
    6,883.56x = 37,039,478.11
  5. Step 5: Solve for x
    x = 37,039,478.11/6,883.56
  6. Step 6: Final answer
    x = 5,380.86

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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.