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Finding the Fourth Proportional to 6,850.15, 9,453.17 and 3,706.34

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Solution

The fourth proportional to 6,850.15, 9,453.17 and 3,706.34 is: 5,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.15 : 9,453.17 = 3,706.34 : x
  2. Step 2: Convert to fraction form
    6,850.15/9,453.17 = 3,706.34/x
  3. Step 3: Cross multiply
    6,850.15x = 9,453.17 × 3,706.34
  4. Step 4: Simplify right side
    6,850.15x = 35,036,624.10
  5. Step 5: Solve for x
    x = 35,036,624.10/6,850.15
  6. Step 6: Final answer
    x = 5,114.73

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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.