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Finding the Fourth Proportional to 6,289.37, 9,436.64 and 3,327.05

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Solution

The fourth proportional to 6,289.37, 9,436.64 and 3,327.05 is: 4,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.37 : 9,436.64 = 3,327.05 : x
  2. Step 2: Convert to fraction form
    6,289.37/9,436.64 = 3,327.05/x
  3. Step 3: Cross multiply
    6,289.37x = 9,436.64 × 3,327.05
  4. Step 4: Simplify right side
    6,289.37x = 31,396,167.56
  5. Step 5: Solve for x
    x = 31,396,167.56/6,289.37
  6. Step 6: Final answer
    x = 4,991.94

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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.