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Finding the Fourth Proportional to 7,067.21, 9,752.73 and 3,923.38

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Solution

The fourth proportional to 7,067.21, 9,752.73 and 3,923.38 is: 5,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.21 : 9,752.73 = 3,923.38 : x
  2. Step 2: Convert to fraction form
    7,067.21/9,752.73 = 3,923.38/x
  3. Step 3: Cross multiply
    7,067.21x = 9,752.73 × 3,923.38
  4. Step 4: Simplify right side
    7,067.21x = 38,263,617.06
  5. Step 5: Solve for x
    x = 38,263,617.06/7,067.21
  6. Step 6: Final answer
    x = 5,414.25

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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.