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Finding the Fourth Proportional to 9,422.82, 13,000.80 and 6,067.56

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Solution

The fourth proportional to 9,422.82, 13,000.80 and 6,067.56 is: 8,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.82 : 13,000.80 = 6,067.56 : x
  2. Step 2: Convert to fraction form
    9,422.82/13,000.80 = 6,067.56/x
  3. Step 3: Cross multiply
    9,422.82x = 13,000.80 × 6,067.56
  4. Step 4: Simplify right side
    9,422.82x = 78,883,134.05
  5. Step 5: Solve for x
    x = 78,883,134.05/9,422.82
  6. Step 6: Final answer
    x = 8,371.50

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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.