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Finding the Fourth Proportional to 7,077.62, 9,766.89 and 4,093.58

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Solution

The fourth proportional to 7,077.62, 9,766.89 and 4,093.58 is: 5,649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.62 : 9,766.89 = 4,093.58 : x
  2. Step 2: Convert to fraction form
    7,077.62/9,766.89 = 4,093.58/x
  3. Step 3: Cross multiply
    7,077.62x = 9,766.89 × 4,093.58
  4. Step 4: Simplify right side
    7,077.62x = 39,981,496.73
  5. Step 5: Solve for x
    x = 39,981,496.73/7,077.62
  6. Step 6: Final answer
    x = 5,649.01

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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.