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Finding the Fourth Proportional to 6,668.46, 9,202.41 and 3,684.06

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Solution

The fourth proportional to 6,668.46, 9,202.41 and 3,684.06 is: 5,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,668.46 : 9,202.41 = 3,684.06 : x
  2. Step 2: Convert to fraction form
    6,668.46/9,202.41 = 3,684.06/x
  3. Step 3: Cross multiply
    6,668.46x = 9,202.41 × 3,684.06
  4. Step 4: Simplify right side
    6,668.46x = 33,902,230.58
  5. Step 5: Solve for x
    x = 33,902,230.58/6,668.46
  6. Step 6: Final answer
    x = 5,083.97

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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.