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Finding the Fourth Proportional to 6,502.09, 9,753.94 and 2,118.37

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Solution

The fourth proportional to 6,502.09, 9,753.94 and 2,118.37 is: 3,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.09 : 9,753.94 = 2,118.37 : x
  2. Step 2: Convert to fraction form
    6,502.09/9,753.94 = 2,118.37/x
  3. Step 3: Cross multiply
    6,502.09x = 9,753.94 × 2,118.37
  4. Step 4: Simplify right side
    6,502.09x = 20,662,453.88
  5. Step 5: Solve for x
    x = 20,662,453.88/6,502.09
  6. Step 6: Final answer
    x = 3,177.82

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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.