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Finding the Fourth Proportional to 6,736.97, 9,297.38 and 4,049.00

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Solution

The fourth proportional to 6,736.97, 9,297.38 and 4,049.00 is: 5,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.97 : 9,297.38 = 4,049.00 : x
  2. Step 2: Convert to fraction form
    6,736.97/9,297.38 = 4,049.00/x
  3. Step 3: Cross multiply
    6,736.97x = 9,297.38 × 4,049.00
  4. Step 4: Simplify right side
    6,736.97x = 37,645,024.89
  5. Step 5: Solve for x
    x = 37,645,024.89/6,736.97
  6. Step 6: Final answer
    x = 5,587.83

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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.