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Finding the Fourth Proportional to 6,379.34, 9,567.63 and 1,996.22

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Solution

The fourth proportional to 6,379.34, 9,567.63 and 1,996.22 is: 2,993.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.34 : 9,567.63 = 1,996.22 : x
  2. Step 2: Convert to fraction form
    6,379.34/9,567.63 = 1,996.22/x
  3. Step 3: Cross multiply
    6,379.34x = 9,567.63 × 1,996.22
  4. Step 4: Simplify right side
    6,379.34x = 19,099,094.36
  5. Step 5: Solve for x
    x = 19,099,094.36/6,379.34
  6. Step 6: Final answer
    x = 2,993.90

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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.