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Finding the Fourth Proportional to 6,108.82, 9,163.98 and 1,947.37

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Solution

The fourth proportional to 6,108.82, 9,163.98 and 1,947.37 is: 2,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.82 : 9,163.98 = 1,947.37 : x
  2. Step 2: Convert to fraction form
    6,108.82/9,163.98 = 1,947.37/x
  3. Step 3: Cross multiply
    6,108.82x = 9,163.98 × 1,947.37
  4. Step 4: Simplify right side
    6,108.82x = 17,845,659.73
  5. Step 5: Solve for x
    x = 17,845,659.73/6,108.82
  6. Step 6: Final answer
    x = 2,921.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.