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Finding the Fourth Proportional to 6,812.79, 9,401.90 and 4,161.39

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Solution

The fourth proportional to 6,812.79, 9,401.90 and 4,161.39 is: 5,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.79 : 9,401.90 = 4,161.39 : x
  2. Step 2: Convert to fraction form
    6,812.79/9,401.90 = 4,161.39/x
  3. Step 3: Cross multiply
    6,812.79x = 9,401.90 × 4,161.39
  4. Step 4: Simplify right side
    6,812.79x = 39,124,936.03
  5. Step 5: Solve for x
    x = 39,124,936.03/6,812.79
  6. Step 6: Final answer
    x = 5,742.87

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Why These Related Problems?

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