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Finding the Fourth Proportional to 9,194.67, 13,785.69 and 3,350.52

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Solution

The fourth proportional to 9,194.67, 13,785.69 and 3,350.52 is: 5,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.67 : 13,785.69 = 3,350.52 : x
  2. Step 2: Convert to fraction form
    9,194.67/13,785.69 = 3,350.52/x
  3. Step 3: Cross multiply
    9,194.67x = 13,785.69 × 3,350.52
  4. Step 4: Simplify right side
    9,194.67x = 46,189,230.06
  5. Step 5: Solve for x
    x = 46,189,230.06/9,194.67
  6. Step 6: Final answer
    x = 5,023.48

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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.