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Finding the Fourth Proportional to 6,279.63, 9,422.96 and 5,463.69

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Solution

The fourth proportional to 6,279.63, 9,422.96 and 5,463.69 is: 8,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.63 : 9,422.96 = 5,463.69 : x
  2. Step 2: Convert to fraction form
    6,279.63/9,422.96 = 5,463.69/x
  3. Step 3: Cross multiply
    6,279.63x = 9,422.96 × 5,463.69
  4. Step 4: Simplify right side
    6,279.63x = 51,484,105.00
  5. Step 5: Solve for x
    x = 51,484,105.00/6,279.63
  6. Step 6: Final answer
    x = 8,198.59

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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.