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Finding the Fourth Proportional to 9,236.28, 12,735.18 and 7,462.38

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Solution

The fourth proportional to 9,236.28, 12,735.18 and 7,462.38 is: 10,289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.28 : 12,735.18 = 7,462.38 : x
  2. Step 2: Convert to fraction form
    9,236.28/12,735.18 = 7,462.38/x
  3. Step 3: Cross multiply
    9,236.28x = 12,735.18 × 7,462.38
  4. Step 4: Simplify right side
    9,236.28x = 95,034,752.53
  5. Step 5: Solve for x
    x = 95,034,752.53/9,236.28
  6. Step 6: Final answer
    x = 10,289.29

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Why These Related Problems?

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