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Finding the Fourth Proportional to 8,864.80, 13,286.40 and 6,553.60

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Solution

The fourth proportional to 8,864.80, 13,286.40 and 6,553.60 is: 9,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,864.80 : 13,286.40 = 6,553.60 : x
  2. Step 2: Convert to fraction form
    8,864.80/13,286.40 = 6,553.60/x
  3. Step 3: Cross multiply
    8,864.80x = 13,286.40 × 6,553.60
  4. Step 4: Simplify right side
    8,864.80x = 87,073,751.04
  5. Step 5: Solve for x
    x = 87,073,751.04/8,864.80
  6. Step 6: Final answer
    x = 9,822.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.