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Finding the Fourth Proportional to 9,198.06, 13,797.09 and 5,501.37

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Solution

The fourth proportional to 9,198.06, 13,797.09 and 5,501.37 is: 8,252.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.06 : 13,797.09 = 5,501.37 : x
  2. Step 2: Convert to fraction form
    9,198.06/13,797.09 = 5,501.37/x
  3. Step 3: Cross multiply
    9,198.06x = 13,797.09 × 5,501.37
  4. Step 4: Simplify right side
    9,198.06x = 75,902,897.01
  5. Step 5: Solve for x
    x = 75,902,897.01/9,198.06
  6. Step 6: Final answer
    x = 8,252.06

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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.