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Finding the Fourth Proportional to 6,677.78, 9,212.43 and 4,023.68

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Solution

The fourth proportional to 6,677.78, 9,212.43 and 4,023.68 is: 5,550.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,677.78 : 9,212.43 = 4,023.68 : x
  2. Step 2: Convert to fraction form
    6,677.78/9,212.43 = 4,023.68/x
  3. Step 3: Cross multiply
    6,677.78x = 9,212.43 × 4,023.68
  4. Step 4: Simplify right side
    6,677.78x = 37,067,839.37
  5. Step 5: Solve for x
    x = 37,067,839.37/6,677.78
  6. Step 6: Final answer
    x = 5,550.93

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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.