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Finding the Fourth Proportional to 6,436.89, 9,644.97 and 2,730.54

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Solution

The fourth proportional to 6,436.89, 9,644.97 and 2,730.54 is: 4,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.89 : 9,644.97 = 2,730.54 : x
  2. Step 2: Convert to fraction form
    6,436.89/9,644.97 = 2,730.54/x
  3. Step 3: Cross multiply
    6,436.89x = 9,644.97 × 2,730.54
  4. Step 4: Simplify right side
    6,436.89x = 26,335,976.38
  5. Step 5: Solve for x
    x = 26,335,976.38/6,436.89
  6. Step 6: Final answer
    x = 4,091.41

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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.