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Finding the Fourth Proportional to 9,072.81, 13,609.22 and 3,229.44

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Solution

The fourth proportional to 9,072.81, 13,609.22 and 3,229.44 is: 4,844.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.81 : 13,609.22 = 3,229.44 : x
  2. Step 2: Convert to fraction form
    9,072.81/13,609.22 = 3,229.44/x
  3. Step 3: Cross multiply
    9,072.81x = 13,609.22 × 3,229.44
  4. Step 4: Simplify right side
    9,072.81x = 43,950,159.44
  5. Step 5: Solve for x
    x = 43,950,159.44/9,072.81
  6. Step 6: Final answer
    x = 4,844.16

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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.