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Finding the Fourth Proportional to 6,231.50, 9,349.60 and 2,945.14

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Solution

The fourth proportional to 6,231.50, 9,349.60 and 2,945.14 is: 4,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.50 : 9,349.60 = 2,945.14 : x
  2. Step 2: Convert to fraction form
    6,231.50/9,349.60 = 2,945.14/x
  3. Step 3: Cross multiply
    6,231.50x = 9,349.60 × 2,945.14
  4. Step 4: Simplify right side
    6,231.50x = 27,535,880.94
  5. Step 5: Solve for x
    x = 27,535,880.94/6,231.50
  6. Step 6: Final answer
    x = 4,418.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.