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Finding the Fourth Proportional to 6,664.39, 9,198.06 and 3,975.78

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Solution

The fourth proportional to 6,664.39, 9,198.06 and 3,975.78 is: 5,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.39 : 9,198.06 = 3,975.78 : x
  2. Step 2: Convert to fraction form
    6,664.39/9,198.06 = 3,975.78/x
  3. Step 3: Cross multiply
    6,664.39x = 9,198.06 × 3,975.78
  4. Step 4: Simplify right side
    6,664.39x = 36,569,462.99
  5. Step 5: Solve for x
    x = 36,569,462.99/6,664.39
  6. Step 6: Final answer
    x = 5,487.29

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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.