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Finding the Fourth Proportional to 6,841.12, 9,440.88 and 3,857

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Solution

The fourth proportional to 6,841.12, 9,440.88 and 3,857 is: 5,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.12 : 9,440.88 = 3,857 : x
  2. Step 2: Convert to fraction form
    6,841.12/9,440.88 = 3,857/x
  3. Step 3: Cross multiply
    6,841.12x = 9,440.88 × 3,857
  4. Step 4: Simplify right side
    6,841.12x = 36,413,474.16
  5. Step 5: Solve for x
    x = 36,413,474.16/6,841.12
  6. Step 6: Final answer
    x = 5,322.74

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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.