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Finding the Fourth Proportional to 9,229.22, 12,732.21 and 5,449.81

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Solution

The fourth proportional to 9,229.22, 12,732.21 and 5,449.81 is: 7,518.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.22 : 12,732.21 = 5,449.81 : x
  2. Step 2: Convert to fraction form
    9,229.22/12,732.21 = 5,449.81/x
  3. Step 3: Cross multiply
    9,229.22x = 12,732.21 × 5,449.81
  4. Step 4: Simplify right side
    9,229.22x = 69,388,096.94
  5. Step 5: Solve for x
    x = 69,388,096.94/9,229.22
  6. Step 6: Final answer
    x = 7,518.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.