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Finding the Fourth Proportional to 9,321.28, 13,938.72 and 7,217.44

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Solution

The fourth proportional to 9,321.28, 13,938.72 and 7,217.44 is: 10,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.28 : 13,938.72 = 7,217.44 : x
  2. Step 2: Convert to fraction form
    9,321.28/13,938.72 = 7,217.44/x
  3. Step 3: Cross multiply
    9,321.28x = 13,938.72 × 7,217.44
  4. Step 4: Simplify right side
    9,321.28x = 100,601,875.28
  5. Step 5: Solve for x
    x = 100,601,875.28/9,321.28
  6. Step 6: Final answer
    x = 10,792.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.