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Finding the Fourth Proportional to 6,344.14, 8,758.36 and 3,826.70

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Solution

The fourth proportional to 6,344.14, 8,758.36 and 3,826.70 is: 5,282.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.14 : 8,758.36 = 3,826.70 : x
  2. Step 2: Convert to fraction form
    6,344.14/8,758.36 = 3,826.70/x
  3. Step 3: Cross multiply
    6,344.14x = 8,758.36 × 3,826.70
  4. Step 4: Simplify right side
    6,344.14x = 33,515,616.21
  5. Step 5: Solve for x
    x = 33,515,616.21/6,344.14
  6. Step 6: Final answer
    x = 5,282.93

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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.