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Finding the Fourth Proportional to 6,664.62, 9,197.26 and 3,680.46

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Solution

The fourth proportional to 6,664.62, 9,197.26 and 3,680.46 is: 5,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.62 : 9,197.26 = 3,680.46 : x
  2. Step 2: Convert to fraction form
    6,664.62/9,197.26 = 3,680.46/x
  3. Step 3: Cross multiply
    6,664.62x = 9,197.26 × 3,680.46
  4. Step 4: Simplify right side
    6,664.62x = 33,850,147.54
  5. Step 5: Solve for x
    x = 33,850,147.54/6,664.62
  6. Step 6: Final answer
    x = 5,079.08

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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.