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Finding the Fourth Proportional to 6,775.56, 9,350.76 and 3,792

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Solution

The fourth proportional to 6,775.56, 9,350.76 and 3,792 is: 5,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.56 : 9,350.76 = 3,792 : x
  2. Step 2: Convert to fraction form
    6,775.56/9,350.76 = 3,792/x
  3. Step 3: Cross multiply
    6,775.56x = 9,350.76 × 3,792
  4. Step 4: Simplify right side
    6,775.56x = 35,458,081.92
  5. Step 5: Solve for x
    x = 35,458,081.92/6,775.56
  6. Step 6: Final answer
    x = 5,233.23

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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.