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Finding the Fourth Proportional to 9,198.59, 13,797.27 and 2,273.09

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Solution

The fourth proportional to 9,198.59, 13,797.27 and 2,273.09 is: 3,409.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.59 : 13,797.27 = 2,273.09 : x
  2. Step 2: Convert to fraction form
    9,198.59/13,797.27 = 2,273.09/x
  3. Step 3: Cross multiply
    9,198.59x = 13,797.27 × 2,273.09
  4. Step 4: Simplify right side
    9,198.59x = 31,362,367.48
  5. Step 5: Solve for x
    x = 31,362,367.48/9,198.59
  6. Step 6: Final answer
    x = 3,409.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.