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Finding the Fourth Proportional to 7,067.75, 9,753.50 and 3,924.23

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Solution

The fourth proportional to 7,067.75, 9,753.50 and 3,924.23 is: 5,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.75 : 9,753.50 = 3,924.23 : x
  2. Step 2: Convert to fraction form
    7,067.75/9,753.50 = 3,924.23/x
  3. Step 3: Cross multiply
    7,067.75x = 9,753.50 × 3,924.23
  4. Step 4: Simplify right side
    7,067.75x = 38,274,977.31
  5. Step 5: Solve for x
    x = 38,274,977.31/7,067.75
  6. Step 6: Final answer
    x = 5,415.44

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