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Finding the Fourth Proportional to 6,447.77, 9,665.37 and 3,331.29

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Solution

The fourth proportional to 6,447.77, 9,665.37 and 3,331.29 is: 4,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.77 : 9,665.37 = 3,331.29 : x
  2. Step 2: Convert to fraction form
    6,447.77/9,665.37 = 3,331.29/x
  3. Step 3: Cross multiply
    6,447.77x = 9,665.37 × 3,331.29
  4. Step 4: Simplify right side
    6,447.77x = 32,198,150.43
  5. Step 5: Solve for x
    x = 32,198,150.43/6,447.77
  6. Step 6: Final answer
    x = 4,993.69

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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.