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Finding the Fourth Proportional to 6,363.77, 9,542.00 and 2,463.62

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Solution

The fourth proportional to 6,363.77, 9,542.00 and 2,463.62 is: 3,694.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,363.77 : 9,542.00 = 2,463.62 : x
  2. Step 2: Convert to fraction form
    6,363.77/9,542.00 = 2,463.62/x
  3. Step 3: Cross multiply
    6,363.77x = 9,542.00 × 2,463.62
  4. Step 4: Simplify right side
    6,363.77x = 23,507,820.49
  5. Step 5: Solve for x
    x = 23,507,820.49/6,363.77
  6. Step 6: Final answer
    x = 3,694.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.