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Finding the Fourth Proportional to 5,009.28, 6,912 and 3,144.96

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Solution

The fourth proportional to 5,009.28, 6,912 and 3,144.96 is: 4,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.28 : 6,912 = 3,144.96 : x
  2. Step 2: Convert to fraction form
    5,009.28/6,912 = 3,144.96/x
  3. Step 3: Cross multiply
    5,009.28x = 6,912 × 3,144.96
  4. Step 4: Simplify right side
    5,009.28x = 21,737,963.52
  5. Step 5: Solve for x
    x = 21,737,963.52/5,009.28
  6. Step 6: Final answer
    x = 4,339.54

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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.