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Finding the Fourth Proportional to 6,401.34, 9,604.49 and 2,241.81

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Solution

The fourth proportional to 6,401.34, 9,604.49 and 2,241.81 is: 3,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.34 : 9,604.49 = 2,241.81 : x
  2. Step 2: Convert to fraction form
    6,401.34/9,604.49 = 2,241.81/x
  3. Step 3: Cross multiply
    6,401.34x = 9,604.49 × 2,241.81
  4. Step 4: Simplify right side
    6,401.34x = 21,531,430.52
  5. Step 5: Solve for x
    x = 21,531,430.52/6,401.34
  6. Step 6: Final answer
    x = 3,363.58

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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.