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Finding the Fourth Proportional to 6,336.99, 9,502.77 and 2,177.42

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Solution

The fourth proportional to 6,336.99, 9,502.77 and 2,177.42 is: 3,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.99 : 9,502.77 = 2,177.42 : x
  2. Step 2: Convert to fraction form
    6,336.99/9,502.77 = 2,177.42/x
  3. Step 3: Cross multiply
    6,336.99x = 9,502.77 × 2,177.42
  4. Step 4: Simplify right side
    6,336.99x = 20,691,473.94
  5. Step 5: Solve for x
    x = 20,691,473.94/6,336.99
  6. Step 6: Final answer
    x = 3,265.19

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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.