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Finding the Fourth Proportional to 6,863.13, 9,468.90 and 3,878.69

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Solution

The fourth proportional to 6,863.13, 9,468.90 and 3,878.69 is: 5,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.13 : 9,468.90 = 3,878.69 : x
  2. Step 2: Convert to fraction form
    6,863.13/9,468.90 = 3,878.69/x
  3. Step 3: Cross multiply
    6,863.13x = 9,468.90 × 3,878.69
  4. Step 4: Simplify right side
    6,863.13x = 36,726,880.40
  5. Step 5: Solve for x
    x = 36,726,880.40/6,863.13
  6. Step 6: Final answer
    x = 5,351.33

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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.