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Finding the Fourth Proportional to 6,665.14, 9,197.90 and 3,680.89

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Solution

The fourth proportional to 6,665.14, 9,197.90 and 3,680.89 is: 5,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.14 : 9,197.90 = 3,680.89 : x
  2. Step 2: Convert to fraction form
    6,665.14/9,197.90 = 3,680.89/x
  3. Step 3: Cross multiply
    6,665.14x = 9,197.90 × 3,680.89
  4. Step 4: Simplify right side
    6,665.14x = 33,856,502.98
  5. Step 5: Solve for x
    x = 33,856,502.98/6,665.14
  6. Step 6: Final answer
    x = 5,079.64

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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.