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Finding the Fourth Proportional to 6,286.86, 8,676.27 and 3,634.92

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Solution

The fourth proportional to 6,286.86, 8,676.27 and 3,634.92 is: 5,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.86 : 8,676.27 = 3,634.92 : x
  2. Step 2: Convert to fraction form
    6,286.86/8,676.27 = 3,634.92/x
  3. Step 3: Cross multiply
    6,286.86x = 8,676.27 × 3,634.92
  4. Step 4: Simplify right side
    6,286.86x = 31,537,547.35
  5. Step 5: Solve for x
    x = 31,537,547.35/6,286.86
  6. Step 6: Final answer
    x = 5,016.42

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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.