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Finding the Fourth Proportional to 9,227.82, 13,843.77 and 2,653.50

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Solution

The fourth proportional to 9,227.82, 13,843.77 and 2,653.50 is: 3,980.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.82 : 13,843.77 = 2,653.50 : x
  2. Step 2: Convert to fraction form
    9,227.82/13,843.77 = 2,653.50/x
  3. Step 3: Cross multiply
    9,227.82x = 13,843.77 × 2,653.50
  4. Step 4: Simplify right side
    9,227.82x = 36,734,443.70
  5. Step 5: Solve for x
    x = 36,734,443.70/9,227.82
  6. Step 6: Final answer
    x = 3,980.84

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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.