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Finding the Fourth Proportional to 6,286.30, 9,422.76 and 2,992.44

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Solution

The fourth proportional to 6,286.30, 9,422.76 and 2,992.44 is: 4,485.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.30 : 9,422.76 = 2,992.44 : x
  2. Step 2: Convert to fraction form
    6,286.30/9,422.76 = 2,992.44/x
  3. Step 3: Cross multiply
    6,286.30x = 9,422.76 × 2,992.44
  4. Step 4: Simplify right side
    6,286.30x = 28,197,043.93
  5. Step 5: Solve for x
    x = 28,197,043.93/6,286.30
  6. Step 6: Final answer
    x = 4,485.48

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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.