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Finding the Fourth Proportional to 6,644.72, 9,963.84 and 4,181.42

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Solution

The fourth proportional to 6,644.72, 9,963.84 and 4,181.42 is: 6,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.72 : 9,963.84 = 4,181.42 : x
  2. Step 2: Convert to fraction form
    6,644.72/9,963.84 = 4,181.42/x
  3. Step 3: Cross multiply
    6,644.72x = 9,963.84 × 4,181.42
  4. Step 4: Simplify right side
    6,644.72x = 41,662,999.85
  5. Step 5: Solve for x
    x = 41,662,999.85/6,644.72
  6. Step 6: Final answer
    x = 6,270.09

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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.