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Finding the Fourth Proportional to 6,922.24, 9,552.69 and 3,778.42

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Solution

The fourth proportional to 6,922.24, 9,552.69 and 3,778.42 is: 5,214.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,922.24 : 9,552.69 = 3,778.42 : x
  2. Step 2: Convert to fraction form
    6,922.24/9,552.69 = 3,778.42/x
  3. Step 3: Cross multiply
    6,922.24x = 9,552.69 × 3,778.42
  4. Step 4: Simplify right side
    6,922.24x = 36,094,074.95
  5. Step 5: Solve for x
    x = 36,094,074.95/6,922.24
  6. Step 6: Final answer
    x = 5,214.22

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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.