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Finding the Fourth Proportional to 8,863.82, 12,230.34 and 6,738.80

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Solution

The fourth proportional to 8,863.82, 12,230.34 and 6,738.80 is: 9,298.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,863.82 : 12,230.34 = 6,738.80 : x
  2. Step 2: Convert to fraction form
    8,863.82/12,230.34 = 6,738.80/x
  3. Step 3: Cross multiply
    8,863.82x = 12,230.34 × 6,738.80
  4. Step 4: Simplify right side
    8,863.82x = 82,417,815.19
  5. Step 5: Solve for x
    x = 82,417,815.19/8,863.82
  6. Step 6: Final answer
    x = 9,298.23

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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.