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Finding the Fourth Proportional to 10,193.83, 14,067.17 and 6,213.49

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Solution

The fourth proportional to 10,193.83, 14,067.17 and 6,213.49 is: 8,574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,193.83 : 14,067.17 = 6,213.49 : x
  2. Step 2: Convert to fraction form
    10,193.83/14,067.17 = 6,213.49/x
  3. Step 3: Cross multiply
    10,193.83x = 14,067.17 × 6,213.49
  4. Step 4: Simplify right side
    10,193.83x = 87,406,189.06
  5. Step 5: Solve for x
    x = 87,406,189.06/10,193.83
  6. Step 6: Final answer
    x = 8,574.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.