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Finding the Fourth Proportional to 7,133.12, 9,842.63 and 4,067

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Solution

The fourth proportional to 7,133.12, 9,842.63 and 4,067 is: 5,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.12 : 9,842.63 = 4,067 : x
  2. Step 2: Convert to fraction form
    7,133.12/9,842.63 = 4,067/x
  3. Step 3: Cross multiply
    7,133.12x = 9,842.63 × 4,067
  4. Step 4: Simplify right side
    7,133.12x = 40,029,976.21
  5. Step 5: Solve for x
    x = 40,029,976.21/7,133.12
  6. Step 6: Final answer
    x = 5,611.85

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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.