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Finding the Fourth Proportional to 6,644.92, 9,963.72 and 2,260.60

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Solution

The fourth proportional to 6,644.92, 9,963.72 and 2,260.60 is: 3,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.92 : 9,963.72 = 2,260.60 : x
  2. Step 2: Convert to fraction form
    6,644.92/9,963.72 = 2,260.60/x
  3. Step 3: Cross multiply
    6,644.92x = 9,963.72 × 2,260.60
  4. Step 4: Simplify right side
    6,644.92x = 22,523,985.43
  5. Step 5: Solve for x
    x = 22,523,985.43/6,644.92
  6. Step 6: Final answer
    x = 3,389.65

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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.