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Finding the Fourth Proportional to 6,286.07, 8,676.92 and 3,634.34

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Solution

The fourth proportional to 6,286.07, 8,676.92 and 3,634.34 is: 5,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.07 : 8,676.92 = 3,634.34 : x
  2. Step 2: Convert to fraction form
    6,286.07/8,676.92 = 3,634.34/x
  3. Step 3: Cross multiply
    6,286.07x = 8,676.92 × 3,634.34
  4. Step 4: Simplify right side
    6,286.07x = 31,534,843.13
  5. Step 5: Solve for x
    x = 31,534,843.13/6,286.07
  6. Step 6: Final answer
    x = 5,016.62

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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.