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Finding the Fourth Proportional to 6,204.77, 9,305.79 and 3,976.91

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Solution

The fourth proportional to 6,204.77, 9,305.79 and 3,976.91 is: 5,964.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,204.77 : 9,305.79 = 3,976.91 : x
  2. Step 2: Convert to fraction form
    6,204.77/9,305.79 = 3,976.91/x
  3. Step 3: Cross multiply
    6,204.77x = 9,305.79 × 3,976.91
  4. Step 4: Simplify right side
    6,204.77x = 37,008,315.11
  5. Step 5: Solve for x
    x = 37,008,315.11/6,204.77
  6. Step 6: Final answer
    x = 5,964.50

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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.