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Finding the Fourth Proportional to 9,321.62, 12,882.24 and 7,640.33

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Solution

The fourth proportional to 9,321.62, 12,882.24 and 7,640.33 is: 10,558.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.62 : 12,882.24 = 7,640.33 : x
  2. Step 2: Convert to fraction form
    9,321.62/12,882.24 = 7,640.33/x
  3. Step 3: Cross multiply
    9,321.62x = 12,882.24 × 7,640.33
  4. Step 4: Simplify right side
    9,321.62x = 98,424,500.33
  5. Step 5: Solve for x
    x = 98,424,500.33/9,321.62
  6. Step 6: Final answer
    x = 10,558.74

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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.