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Finding the Fourth Proportional to 6,997.69, 10,445.34 and 6,167.34

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Solution

The fourth proportional to 6,997.69, 10,445.34 and 6,167.34 is: 9,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.69 : 10,445.34 = 6,167.34 : x
  2. Step 2: Convert to fraction form
    6,997.69/10,445.34 = 6,167.34/x
  3. Step 3: Cross multiply
    6,997.69x = 10,445.34 × 6,167.34
  4. Step 4: Simplify right side
    6,997.69x = 64,419,963.20
  5. Step 5: Solve for x
    x = 64,419,963.20/6,997.69
  6. Step 6: Final answer
    x = 9,205.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.