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Finding the Fourth Proportional to 6,323.77, 8,727.41 and 3,635.38

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Solution

The fourth proportional to 6,323.77, 8,727.41 and 3,635.38 is: 5,017.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.77 : 8,727.41 = 3,635.38 : x
  2. Step 2: Convert to fraction form
    6,323.77/8,727.41 = 3,635.38/x
  3. Step 3: Cross multiply
    6,323.77x = 8,727.41 × 3,635.38
  4. Step 4: Simplify right side
    6,323.77x = 31,727,439.04
  5. Step 5: Solve for x
    x = 31,727,439.04/6,323.77
  6. Step 6: Final answer
    x = 5,017.17

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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.