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Finding the Fourth Proportional to 6,841.36, 9,440.94 and 3,857.14

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Solution

The fourth proportional to 6,841.36, 9,440.94 and 3,857.14 is: 5,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.36 : 9,440.94 = 3,857.14 : x
  2. Step 2: Convert to fraction form
    6,841.36/9,440.94 = 3,857.14/x
  3. Step 3: Cross multiply
    6,841.36x = 9,440.94 × 3,857.14
  4. Step 4: Simplify right side
    6,841.36x = 36,415,027.31
  5. Step 5: Solve for x
    x = 36,415,027.31/6,841.36
  6. Step 6: Final answer
    x = 5,322.78

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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.