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Finding the Fourth Proportional to 6,775.89, 9,350.91 and 3,792.24

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Solution

The fourth proportional to 6,775.89, 9,350.91 and 3,792.24 is: 5,233.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.89 : 9,350.91 = 3,792.24 : x
  2. Step 2: Convert to fraction form
    6,775.89/9,350.91 = 3,792.24/x
  3. Step 3: Cross multiply
    6,775.89x = 9,350.91 × 3,792.24
  4. Step 4: Simplify right side
    6,775.89x = 35,460,894.94
  5. Step 5: Solve for x
    x = 35,460,894.94/6,775.89
  6. Step 6: Final answer
    x = 5,233.39

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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.