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Finding the Fourth Proportional to 6,194.72, 9,293.12 and 2,245.44

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Solution

The fourth proportional to 6,194.72, 9,293.12 and 2,245.44 is: 3,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.72 : 9,293.12 = 2,245.44 : x
  2. Step 2: Convert to fraction form
    6,194.72/9,293.12 = 2,245.44/x
  3. Step 3: Cross multiply
    6,194.72x = 9,293.12 × 2,245.44
  4. Step 4: Simplify right side
    6,194.72x = 20,867,143.37
  5. Step 5: Solve for x
    x = 20,867,143.37/6,194.72
  6. Step 6: Final answer
    x = 3,368.54

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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.