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Finding the Fourth Proportional to 9,198.60, 12,692.12 and 5,837.44

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Solution

The fourth proportional to 9,198.60, 12,692.12 and 5,837.44 is: 8,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.60 : 12,692.12 = 5,837.44 : x
  2. Step 2: Convert to fraction form
    9,198.60/12,692.12 = 5,837.44/x
  3. Step 3: Cross multiply
    9,198.60x = 12,692.12 × 5,837.44
  4. Step 4: Simplify right side
    9,198.60x = 74,089,488.97
  5. Step 5: Solve for x
    x = 74,089,488.97/9,198.60
  6. Step 6: Final answer
    x = 8,054.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.