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Finding the Fourth Proportional to 9,768.20, 14,650.80 and 3,194.42

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Solution

The fourth proportional to 9,768.20, 14,650.80 and 3,194.42 is: 4,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.20 : 14,650.80 = 3,194.42 : x
  2. Step 2: Convert to fraction form
    9,768.20/14,650.80 = 3,194.42/x
  3. Step 3: Cross multiply
    9,768.20x = 14,650.80 × 3,194.42
  4. Step 4: Simplify right side
    9,768.20x = 46,800,808.54
  5. Step 5: Solve for x
    x = 46,800,808.54/9,768.20
  6. Step 6: Final answer
    x = 4,791.14

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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.