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Finding the Fourth Proportional to 6,235.07, 9,353.42 and 2,286.32

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Solution

The fourth proportional to 6,235.07, 9,353.42 and 2,286.32 is: 3,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.07 : 9,353.42 = 2,286.32 : x
  2. Step 2: Convert to fraction form
    6,235.07/9,353.42 = 2,286.32/x
  3. Step 3: Cross multiply
    6,235.07x = 9,353.42 × 2,286.32
  4. Step 4: Simplify right side
    6,235.07x = 21,384,899.78
  5. Step 5: Solve for x
    x = 21,384,899.78/6,235.07
  6. Step 6: Final answer
    x = 3,429.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.