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Finding the Fourth Proportional to 6,850.24, 9,453.31 and 3,706.43

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Solution

The fourth proportional to 6,850.24, 9,453.31 and 3,706.43 is: 5,114.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.24 : 9,453.31 = 3,706.43 : x
  2. Step 2: Convert to fraction form
    6,850.24/9,453.31 = 3,706.43/x
  3. Step 3: Cross multiply
    6,850.24x = 9,453.31 × 3,706.43
  4. Step 4: Simplify right side
    6,850.24x = 35,037,975.25
  5. Step 5: Solve for x
    x = 35,037,975.25/6,850.24
  6. Step 6: Final answer
    x = 5,114.86

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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.