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Finding the Fourth Proportional to 9,221.30, 13,817.92 and 6,757.75

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Solution

The fourth proportional to 9,221.30, 13,817.92 and 6,757.75 is: 10,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.30 : 13,817.92 = 6,757.75 : x
  2. Step 2: Convert to fraction form
    9,221.30/13,817.92 = 6,757.75/x
  3. Step 3: Cross multiply
    9,221.30x = 13,817.92 × 6,757.75
  4. Step 4: Simplify right side
    9,221.30x = 93,378,048.88
  5. Step 5: Solve for x
    x = 93,378,048.88/9,221.30
  6. Step 6: Final answer
    x = 10,126.34

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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.