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Finding the Fourth Proportional to 6,313.88, 9,463.64 and 3,843.25

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Solution

The fourth proportional to 6,313.88, 9,463.64 and 3,843.25 is: 5,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.88 : 9,463.64 = 3,843.25 : x
  2. Step 2: Convert to fraction form
    6,313.88/9,463.64 = 3,843.25/x
  3. Step 3: Cross multiply
    6,313.88x = 9,463.64 × 3,843.25
  4. Step 4: Simplify right side
    6,313.88x = 36,371,091.55
  5. Step 5: Solve for x
    x = 36,371,091.55/6,313.88
  6. Step 6: Final answer
    x = 5,760.50

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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.