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Finding the Fourth Proportional to 6,366.86, 9,546.46 and 2,856.22

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Solution

The fourth proportional to 6,366.86, 9,546.46 and 2,856.22 is: 4,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.86 : 9,546.46 = 2,856.22 : x
  2. Step 2: Convert to fraction form
    6,366.86/9,546.46 = 2,856.22/x
  3. Step 3: Cross multiply
    6,366.86x = 9,546.46 × 2,856.22
  4. Step 4: Simplify right side
    6,366.86x = 27,266,789.98
  5. Step 5: Solve for x
    x = 27,266,789.98/6,366.86
  6. Step 6: Final answer
    x = 4,282.61

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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.