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Finding the Fourth Proportional to 9,231.46, 12,735.32 and 5,452.07

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Solution

The fourth proportional to 9,231.46, 12,735.32 and 5,452.07 is: 7,521.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.46 : 12,735.32 = 5,452.07 : x
  2. Step 2: Convert to fraction form
    9,231.46/12,735.32 = 5,452.07/x
  3. Step 3: Cross multiply
    9,231.46x = 12,735.32 × 5,452.07
  4. Step 4: Simplify right side
    9,231.46x = 69,433,765.18
  5. Step 5: Solve for x
    x = 69,433,765.18/9,231.46
  6. Step 6: Final answer
    x = 7,521.43

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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.