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Finding the Fourth Proportional to 6,850.77, 9,449.35 and 4,199.50

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Solution

The fourth proportional to 6,850.77, 9,449.35 and 4,199.50 is: 5,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.77 : 9,449.35 = 4,199.50 : x
  2. Step 2: Convert to fraction form
    6,850.77/9,449.35 = 4,199.50/x
  3. Step 3: Cross multiply
    6,850.77x = 9,449.35 × 4,199.50
  4. Step 4: Simplify right side
    6,850.77x = 39,682,545.33
  5. Step 5: Solve for x
    x = 39,682,545.33/6,850.77
  6. Step 6: Final answer
    x = 5,792.42

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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.