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Finding the Fourth Proportional to 6,734.08, 9,292.68 and 3,749.80

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Solution

The fourth proportional to 6,734.08, 9,292.68 and 3,749.80 is: 5,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.08 : 9,292.68 = 3,749.80 : x
  2. Step 2: Convert to fraction form
    6,734.08/9,292.68 = 3,749.80/x
  3. Step 3: Cross multiply
    6,734.08x = 9,292.68 × 3,749.80
  4. Step 4: Simplify right side
    6,734.08x = 34,845,691.46
  5. Step 5: Solve for x
    x = 34,845,691.46/6,734.08
  6. Step 6: Final answer
    x = 5,174.53

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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.