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Finding the Fourth Proportional to 6,542.67, 9,027.44 and 3,709.83

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Solution

The fourth proportional to 6,542.67, 9,027.44 and 3,709.83 is: 5,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.67 : 9,027.44 = 3,709.83 : x
  2. Step 2: Convert to fraction form
    6,542.67/9,027.44 = 3,709.83/x
  3. Step 3: Cross multiply
    6,542.67x = 9,027.44 × 3,709.83
  4. Step 4: Simplify right side
    6,542.67x = 33,490,249.19
  5. Step 5: Solve for x
    x = 33,490,249.19/6,542.67
  6. Step 6: Final answer
    x = 5,118.74

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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.