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Finding the Fourth Proportional to 6,850.23, 9,453.32 and 3,706.41

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Solution

The fourth proportional to 6,850.23, 9,453.32 and 3,706.41 is: 5,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.23 : 9,453.32 = 3,706.41 : x
  2. Step 2: Convert to fraction form
    6,850.23/9,453.32 = 3,706.41/x
  3. Step 3: Cross multiply
    6,850.23x = 9,453.32 × 3,706.41
  4. Step 4: Simplify right side
    6,850.23x = 35,037,861.25
  5. Step 5: Solve for x
    x = 35,037,861.25/6,850.23
  6. Step 6: Final answer
    x = 5,114.84

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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.