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Finding the Fourth Proportional to 6,866.37, 9,475.99 and 3,882.48

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Solution

The fourth proportional to 6,866.37, 9,475.99 and 3,882.48 is: 5,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.37 : 9,475.99 = 3,882.48 : x
  2. Step 2: Convert to fraction form
    6,866.37/9,475.99 = 3,882.48/x
  3. Step 3: Cross multiply
    6,866.37x = 9,475.99 × 3,882.48
  4. Step 4: Simplify right side
    6,866.37x = 36,790,349.72
  5. Step 5: Solve for x
    x = 36,790,349.72/6,866.37
  6. Step 6: Final answer
    x = 5,358.05

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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.