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Finding the Fourth Proportional to 6,644.16, 9,963.45 and 2,261.88

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Solution

The fourth proportional to 6,644.16, 9,963.45 and 2,261.88 is: 3,391.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.16 : 9,963.45 = 2,261.88 : x
  2. Step 2: Convert to fraction form
    6,644.16/9,963.45 = 2,261.88/x
  3. Step 3: Cross multiply
    6,644.16x = 9,963.45 × 2,261.88
  4. Step 4: Simplify right side
    6,644.16x = 22,536,128.29
  5. Step 5: Solve for x
    x = 22,536,128.29/6,644.16
  6. Step 6: Final answer
    x = 3,391.87

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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.