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Finding the Fourth Proportional to 37,198.36, 55,797.63 and 9,118.54

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Solution

The fourth proportional to 37,198.36, 55,797.63 and 9,118.54 is: 13,677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,198.36 : 55,797.63 = 9,118.54 : x
  2. Step 2: Convert to fraction form
    37,198.36/55,797.63 = 9,118.54/x
  3. Step 3: Cross multiply
    37,198.36x = 55,797.63 × 9,118.54
  4. Step 4: Simplify right side
    37,198.36x = 508,792,921.06
  5. Step 5: Solve for x
    x = 508,792,921.06/37,198.36
  6. Step 6: Final answer
    x = 13,677.83

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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.