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Finding the Fourth Proportional to 7,796.24, 11,673.96 and 6,229.04

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Solution

The fourth proportional to 7,796.24, 11,673.96 and 6,229.04 is: 9,327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.24 : 11,673.96 = 6,229.04 : x
  2. Step 2: Convert to fraction form
    7,796.24/11,673.96 = 6,229.04/x
  3. Step 3: Cross multiply
    7,796.24x = 11,673.96 × 6,229.04
  4. Step 4: Simplify right side
    7,796.24x = 72,717,563.80
  5. Step 5: Solve for x
    x = 72,717,563.80/7,796.24
  6. Step 6: Final answer
    x = 9,327.26

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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.