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Finding the Fourth Proportional to 6,996.83, 10,464.26 and 6,222.29

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Solution

The fourth proportional to 6,996.83, 10,464.26 and 6,222.29 is: 9,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,996.83 : 10,464.26 = 6,222.29 : x
  2. Step 2: Convert to fraction form
    6,996.83/10,464.26 = 6,222.29/x
  3. Step 3: Cross multiply
    6,996.83x = 10,464.26 × 6,222.29
  4. Step 4: Simplify right side
    6,996.83x = 65,111,576.92
  5. Step 5: Solve for x
    x = 65,111,576.92/6,996.83
  6. Step 6: Final answer
    x = 9,305.87

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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.