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Finding the Fourth Proportional to 9,767.70, 14,651.58 and 3,194.52

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Solution

The fourth proportional to 9,767.70, 14,651.58 and 3,194.52 is: 4,791.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.70 : 14,651.58 = 3,194.52 : x
  2. Step 2: Convert to fraction form
    9,767.70/14,651.58 = 3,194.52/x
  3. Step 3: Cross multiply
    9,767.70x = 14,651.58 × 3,194.52
  4. Step 4: Simplify right side
    9,767.70x = 46,804,765.34
  5. Step 5: Solve for x
    x = 46,804,765.34/9,767.70
  6. Step 6: Final answer
    x = 4,791.79

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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.