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Finding the Fourth Proportional to 9,584.11, 13,216.80 and 6,227.83

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Solution

The fourth proportional to 9,584.11, 13,216.80 and 6,227.83 is: 8,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.11 : 13,216.80 = 6,227.83 : x
  2. Step 2: Convert to fraction form
    9,584.11/13,216.80 = 6,227.83/x
  3. Step 3: Cross multiply
    9,584.11x = 13,216.80 × 6,227.83
  4. Step 4: Simplify right side
    9,584.11x = 82,311,983.54
  5. Step 5: Solve for x
    x = 82,311,983.54/9,584.11
  6. Step 6: Final answer
    x = 8,588.38

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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.