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Finding the Fourth Proportional to 6,733.93, 9,292.80 and 3,749.80

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Solution

The fourth proportional to 6,733.93, 9,292.80 and 3,749.80 is: 5,174.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.93 : 9,292.80 = 3,749.80 : x
  2. Step 2: Convert to fraction form
    6,733.93/9,292.80 = 3,749.80/x
  3. Step 3: Cross multiply
    6,733.93x = 9,292.80 × 3,749.80
  4. Step 4: Simplify right side
    6,733.93x = 34,846,141.44
  5. Step 5: Solve for x
    x = 34,846,141.44/6,733.93
  6. Step 6: Final answer
    x = 5,174.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.