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Finding the Fourth Proportional to 6,336.81, 9,502.49 and 2,177.22

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Solution

The fourth proportional to 6,336.81, 9,502.49 and 2,177.22 is: 3,264.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.81 : 9,502.49 = 2,177.22 : x
  2. Step 2: Convert to fraction form
    6,336.81/9,502.49 = 2,177.22/x
  3. Step 3: Cross multiply
    6,336.81x = 9,502.49 × 2,177.22
  4. Step 4: Simplify right side
    6,336.81x = 20,689,052.36
  5. Step 5: Solve for x
    x = 20,689,052.36/6,336.81
  6. Step 6: Final answer
    x = 3,264.90

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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.