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Finding the Fourth Proportional to 6,857.26, 9,462.85 and 3,873

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Solution

The fourth proportional to 6,857.26, 9,462.85 and 3,873 is: 5,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.26 : 9,462.85 = 3,873 : x
  2. Step 2: Convert to fraction form
    6,857.26/9,462.85 = 3,873/x
  3. Step 3: Cross multiply
    6,857.26x = 9,462.85 × 3,873
  4. Step 4: Simplify right side
    6,857.26x = 36,649,618.05
  5. Step 5: Solve for x
    x = 36,649,618.05/6,857.26
  6. Step 6: Final answer
    x = 5,344.64

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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.