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Finding the Fourth Proportional to 7,067.49, 9,753.09 and 3,923.67

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Solution

The fourth proportional to 7,067.49, 9,753.09 and 3,923.67 is: 5,414.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.49 : 9,753.09 = 3,923.67 : x
  2. Step 2: Convert to fraction form
    7,067.49/9,753.09 = 3,923.67/x
  3. Step 3: Cross multiply
    7,067.49x = 9,753.09 × 3,923.67
  4. Step 4: Simplify right side
    7,067.49x = 38,267,906.64
  5. Step 5: Solve for x
    x = 38,267,906.64/7,067.49
  6. Step 6: Final answer
    x = 5,414.64

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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.