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Finding the Fourth Proportional to 9,540.74, 13,164.53 and 5,761.38

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Solution

The fourth proportional to 9,540.74, 13,164.53 and 5,761.38 is: 7,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.74 : 13,164.53 = 5,761.38 : x
  2. Step 2: Convert to fraction form
    9,540.74/13,164.53 = 5,761.38/x
  3. Step 3: Cross multiply
    9,540.74x = 13,164.53 × 5,761.38
  4. Step 4: Simplify right side
    9,540.74x = 75,845,859.85
  5. Step 5: Solve for x
    x = 75,845,859.85/9,540.74
  6. Step 6: Final answer
    x = 7,949.68

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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.