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Finding the Fourth Proportional to 6,743.45, 10,116.09 and 6,333.38

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Solution

The fourth proportional to 6,743.45, 10,116.09 and 6,333.38 is: 9,500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.45 : 10,116.09 = 6,333.38 : x
  2. Step 2: Convert to fraction form
    6,743.45/10,116.09 = 6,333.38/x
  3. Step 3: Cross multiply
    6,743.45x = 10,116.09 × 6,333.38
  4. Step 4: Simplify right side
    6,743.45x = 64,069,067.37
  5. Step 5: Solve for x
    x = 64,069,067.37/6,743.45
  6. Step 6: Final answer
    x = 9,500.94

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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.