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Finding the Fourth Proportional to 6,644.43, 9,168.75 and 3,659.94

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Solution

The fourth proportional to 6,644.43, 9,168.75 and 3,659.94 is: 5,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.43 : 9,168.75 = 3,659.94 : x
  2. Step 2: Convert to fraction form
    6,644.43/9,168.75 = 3,659.94/x
  3. Step 3: Cross multiply
    6,644.43x = 9,168.75 × 3,659.94
  4. Step 4: Simplify right side
    6,644.43x = 33,557,074.88
  5. Step 5: Solve for x
    x = 33,557,074.88/6,644.43
  6. Step 6: Final answer
    x = 5,050.41

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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.