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Finding the Fourth Proportional to 6,817, 9,407.92 and 3,792.55

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Solution

The fourth proportional to 6,817, 9,407.92 and 3,792.55 is: 5,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817 : 9,407.92 = 3,792.55 : x
  2. Step 2: Convert to fraction form
    6,817/9,407.92 = 3,792.55/x
  3. Step 3: Cross multiply
    6,817x = 9,407.92 × 3,792.55
  4. Step 4: Simplify right side
    6,817x = 35,680,007.00
  5. Step 5: Solve for x
    x = 35,680,007.00/6,817
  6. Step 6: Final answer
    x = 5,233.97

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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.