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Finding the Fourth Proportional to 6,734.13, 9,292.98 and 3,749.97

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Solution

The fourth proportional to 6,734.13, 9,292.98 and 3,749.97 is: 5,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.13 : 9,292.98 = 3,749.97 : x
  2. Step 2: Convert to fraction form
    6,734.13/9,292.98 = 3,749.97/x
  3. Step 3: Cross multiply
    6,734.13x = 9,292.98 × 3,749.97
  4. Step 4: Simplify right side
    6,734.13x = 34,848,396.21
  5. Step 5: Solve for x
    x = 34,848,396.21/6,734.13
  6. Step 6: Final answer
    x = 5,174.89

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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.