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Finding the Fourth Proportional to 6,629.92, 9,149.63 and 3,797.30

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Solution

The fourth proportional to 6,629.92, 9,149.63 and 3,797.30 is: 5,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.92 : 9,149.63 = 3,797.30 : x
  2. Step 2: Convert to fraction form
    6,629.92/9,149.63 = 3,797.30/x
  3. Step 3: Cross multiply
    6,629.92x = 9,149.63 × 3,797.30
  4. Step 4: Simplify right side
    6,629.92x = 34,743,893.89
  5. Step 5: Solve for x
    x = 34,743,893.89/6,629.92
  6. Step 6: Final answer
    x = 5,240.47

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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.