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Finding the Fourth Proportional to 6,734.44, 9,292.62 and 3,749.79

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Solution

The fourth proportional to 6,734.44, 9,292.62 and 3,749.79 is: 5,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.44 : 9,292.62 = 3,749.79 : x
  2. Step 2: Convert to fraction form
    6,734.44/9,292.62 = 3,749.79/x
  3. Step 3: Cross multiply
    6,734.44x = 9,292.62 × 3,749.79
  4. Step 4: Simplify right side
    6,734.44x = 34,845,422.46
  5. Step 5: Solve for x
    x = 34,845,422.46/6,734.44
  6. Step 6: Final answer
    x = 5,174.21

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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.