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Finding the Fourth Proportional to 9,198.83, 13,798.15 and 2,273.33

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Solution

The fourth proportional to 9,198.83, 13,798.15 and 2,273.33 is: 3,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.83 : 13,798.15 = 2,273.33 : x
  2. Step 2: Convert to fraction form
    9,198.83/13,798.15 = 2,273.33/x
  3. Step 3: Cross multiply
    9,198.83x = 13,798.15 × 2,273.33
  4. Step 4: Simplify right side
    9,198.83x = 31,367,777.15
  5. Step 5: Solve for x
    x = 31,367,777.15/9,198.83
  6. Step 6: Final answer
    x = 3,409.97

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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.