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Finding the Fourth Proportional to 6,569.77, 9,067.44 and 3,917.34

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Solution

The fourth proportional to 6,569.77, 9,067.44 and 3,917.34 is: 5,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.77 : 9,067.44 = 3,917.34 : x
  2. Step 2: Convert to fraction form
    6,569.77/9,067.44 = 3,917.34/x
  3. Step 3: Cross multiply
    6,569.77x = 9,067.44 × 3,917.34
  4. Step 4: Simplify right side
    6,569.77x = 35,520,245.41
  5. Step 5: Solve for x
    x = 35,520,245.41/6,569.77
  6. Step 6: Final answer
    x = 5,406.62

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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.