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Finding the Fourth Proportional to 9,221.23, 13,817.84 and 6,757.68

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Solution

The fourth proportional to 9,221.23, 13,817.84 and 6,757.68 is: 10,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.23 : 13,817.84 = 6,757.68 : x
  2. Step 2: Convert to fraction form
    9,221.23/13,817.84 = 6,757.68/x
  3. Step 3: Cross multiply
    9,221.23x = 13,817.84 × 6,757.68
  4. Step 4: Simplify right side
    9,221.23x = 93,376,541.01
  5. Step 5: Solve for x
    x = 93,376,541.01/9,221.23
  6. Step 6: Final answer
    x = 10,126.26

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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.