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Finding the Fourth Proportional to 9,194.67, 13,789.25 and 3,349.91

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Solution

The fourth proportional to 9,194.67, 13,789.25 and 3,349.91 is: 5,023.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.67 : 13,789.25 = 3,349.91 : x
  2. Step 2: Convert to fraction form
    9,194.67/13,789.25 = 3,349.91/x
  3. Step 3: Cross multiply
    9,194.67x = 13,789.25 × 3,349.91
  4. Step 4: Simplify right side
    9,194.67x = 46,192,746.47
  5. Step 5: Solve for x
    x = 46,192,746.47/9,194.67
  6. Step 6: Final answer
    x = 5,023.86

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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.