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Finding the Fourth Proportional to 6,187.92, 9,283.34 and 2,027.92

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Solution

The fourth proportional to 6,187.92, 9,283.34 and 2,027.92 is: 3,042.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.92 : 9,283.34 = 2,027.92 : x
  2. Step 2: Convert to fraction form
    6,187.92/9,283.34 = 2,027.92/x
  3. Step 3: Cross multiply
    6,187.92x = 9,283.34 × 2,027.92
  4. Step 4: Simplify right side
    6,187.92x = 18,825,870.85
  5. Step 5: Solve for x
    x = 18,825,870.85/6,187.92
  6. Step 6: Final answer
    x = 3,042.36

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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.