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Finding the Fourth Proportional to 6,401.37, 9,606.38 and 2,241.41

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Solution

The fourth proportional to 6,401.37, 9,606.38 and 2,241.41 is: 3,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.37 : 9,606.38 = 2,241.41 : x
  2. Step 2: Convert to fraction form
    6,401.37/9,606.38 = 2,241.41/x
  3. Step 3: Cross multiply
    6,401.37x = 9,606.38 × 2,241.41
  4. Step 4: Simplify right side
    6,401.37x = 21,531,776.96
  5. Step 5: Solve for x
    x = 21,531,776.96/6,401.37
  6. Step 6: Final answer
    x = 3,363.62

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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.