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Finding the Fourth Proportional to 6,286.43, 8,676.01 and 3,769.93

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Solution

The fourth proportional to 6,286.43, 8,676.01 and 3,769.93 is: 5,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.43 : 8,676.01 = 3,769.93 : x
  2. Step 2: Convert to fraction form
    6,286.43/8,676.01 = 3,769.93/x
  3. Step 3: Cross multiply
    6,286.43x = 8,676.01 × 3,769.93
  4. Step 4: Simplify right side
    6,286.43x = 32,707,926.28
  5. Step 5: Solve for x
    x = 32,707,926.28/6,286.43
  6. Step 6: Final answer
    x = 5,202.94

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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.