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Finding the Fourth Proportional to 6,644.36, 9,169.14 and 3,850.12

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Solution

The fourth proportional to 6,644.36, 9,169.14 and 3,850.12 is: 5,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.36 : 9,169.14 = 3,850.12 : x
  2. Step 2: Convert to fraction form
    6,644.36/9,169.14 = 3,850.12/x
  3. Step 3: Cross multiply
    6,644.36x = 9,169.14 × 3,850.12
  4. Step 4: Simplify right side
    6,644.36x = 35,302,289.30
  5. Step 5: Solve for x
    x = 35,302,289.30/6,644.36
  6. Step 6: Final answer
    x = 5,313.12

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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.