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Finding the Fourth Proportional to 6,866.54, 9,476.35 and 3,882.43

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Solution

The fourth proportional to 6,866.54, 9,476.35 and 3,882.43 is: 5,358.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,866.54 : 9,476.35 = 3,882.43 : x
  2. Step 2: Convert to fraction form
    6,866.54/9,476.35 = 3,882.43/x
  3. Step 3: Cross multiply
    6,866.54x = 9,476.35 × 3,882.43
  4. Step 4: Simplify right side
    6,866.54x = 36,791,232.13
  5. Step 5: Solve for x
    x = 36,791,232.13/6,866.54
  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.