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Finding the Fourth Proportional to 9,229.69, 12,735.29 and 5,453.47

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Solution

The fourth proportional to 9,229.69, 12,735.29 and 5,453.47 is: 7,524.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.69 : 12,735.29 = 5,453.47 : x
  2. Step 2: Convert to fraction form
    9,229.69/12,735.29 = 5,453.47/x
  3. Step 3: Cross multiply
    9,229.69x = 12,735.29 × 5,453.47
  4. Step 4: Simplify right side
    9,229.69x = 69,451,462.85
  5. Step 5: Solve for x
    x = 69,451,462.85/9,229.69
  6. Step 6: Final answer
    x = 7,524.79

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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.