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Finding the Fourth Proportional to 6,092.52, 9,138.84 and 2,196.96

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Solution

The fourth proportional to 6,092.52, 9,138.84 and 2,196.96 is: 3,295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.52 : 9,138.84 = 2,196.96 : x
  2. Step 2: Convert to fraction form
    6,092.52/9,138.84 = 2,196.96/x
  3. Step 3: Cross multiply
    6,092.52x = 9,138.84 × 2,196.96
  4. Step 4: Simplify right side
    6,092.52x = 20,077,665.93
  5. Step 5: Solve for x
    x = 20,077,665.93/6,092.52
  6. Step 6: Final answer
    x = 3,295.46

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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.