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Finding the Fourth Proportional to 12,401, 17,113.38 and 6,812

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Solution

The fourth proportional to 12,401, 17,113.38 and 6,812 is: 9,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401 : 17,113.38 = 6,812 : x
  2. Step 2: Convert to fraction form
    12,401/17,113.38 = 6,812/x
  3. Step 3: Cross multiply
    12,401x = 17,113.38 × 6,812
  4. Step 4: Simplify right side
    12,401x = 116,576,344.56
  5. Step 5: Solve for x
    x = 116,576,344.56/12,401
  6. Step 6: Final answer
    x = 9,400.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.