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Finding the Fourth Proportional to 6,850.54, 9,453.75 and 3,706.73

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Solution

The fourth proportional to 6,850.54, 9,453.75 and 3,706.73 is: 5,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.54 : 9,453.75 = 3,706.73 : x
  2. Step 2: Convert to fraction form
    6,850.54/9,453.75 = 3,706.73/x
  3. Step 3: Cross multiply
    6,850.54x = 9,453.75 × 3,706.73
  4. Step 4: Simplify right side
    6,850.54x = 35,042,451.47
  5. Step 5: Solve for x
    x = 35,042,451.47/6,850.54
  6. Step 6: Final answer
    x = 5,115.29

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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.