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Finding the Fourth Proportional to 6,227.60, 9,331.66 and 3,914.24

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Solution

The fourth proportional to 6,227.60, 9,331.66 and 3,914.24 is: 5,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.60 : 9,331.66 = 3,914.24 : x
  2. Step 2: Convert to fraction form
    6,227.60/9,331.66 = 3,914.24/x
  3. Step 3: Cross multiply
    6,227.60x = 9,331.66 × 3,914.24
  4. Step 4: Simplify right side
    6,227.60x = 36,526,356.84
  5. Step 5: Solve for x
    x = 36,526,356.84/6,227.60
  6. Step 6: Final answer
    x = 5,865.24

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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.