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Finding the Fourth Proportional to 6,868.23, 9,478.77 and 3,884.61

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Solution

The fourth proportional to 6,868.23, 9,478.77 and 3,884.61 is: 5,361.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,868.23 : 9,478.77 = 3,884.61 : x
  2. Step 2: Convert to fraction form
    6,868.23/9,478.77 = 3,884.61/x
  3. Step 3: Cross multiply
    6,868.23x = 9,478.77 × 3,884.61
  4. Step 4: Simplify right side
    6,868.23x = 36,821,324.73
  5. Step 5: Solve for x
    x = 36,821,324.73/6,868.23
  6. Step 6: Final answer
    x = 5,361.11

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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.