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Finding the Fourth Proportional to 6,728.16, 9,284.73 and 3,743.82

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Solution

The fourth proportional to 6,728.16, 9,284.73 and 3,743.82 is: 5,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.16 : 9,284.73 = 3,743.82 : x
  2. Step 2: Convert to fraction form
    6,728.16/9,284.73 = 3,743.82/x
  3. Step 3: Cross multiply
    6,728.16x = 9,284.73 × 3,743.82
  4. Step 4: Simplify right side
    6,728.16x = 34,760,343.83
  5. Step 5: Solve for x
    x = 34,760,343.83/6,728.16
  6. Step 6: Final answer
    x = 5,166.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.