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Finding the Fourth Proportional to 6,644.80, 9,967.43 and 2,261.69

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Solution

The fourth proportional to 6,644.80, 9,967.43 and 2,261.69 is: 3,392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.80 : 9,967.43 = 2,261.69 : x
  2. Step 2: Convert to fraction form
    6,644.80/9,967.43 = 2,261.69/x
  3. Step 3: Cross multiply
    6,644.80x = 9,967.43 × 2,261.69
  4. Step 4: Simplify right side
    6,644.80x = 22,543,186.92
  5. Step 5: Solve for x
    x = 22,543,186.92/6,644.80
  6. Step 6: Final answer
    x = 3,392.61

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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.