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Finding the Fourth Proportional to 9,198.39, 13,796.04 and 2,623.08

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Solution

The fourth proportional to 9,198.39, 13,796.04 and 2,623.08 is: 3,934.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.39 : 13,796.04 = 2,623.08 : x
  2. Step 2: Convert to fraction form
    9,198.39/13,796.04 = 2,623.08/x
  3. Step 3: Cross multiply
    9,198.39x = 13,796.04 × 2,623.08
  4. Step 4: Simplify right side
    9,198.39x = 36,188,116.60
  5. Step 5: Solve for x
    x = 36,188,116.60/9,198.39
  6. Step 6: Final answer
    x = 3,934.18

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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.