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Finding the Fourth Proportional to 6,123.96, 9,187.16 and 2,227.86

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Solution

The fourth proportional to 6,123.96, 9,187.16 and 2,227.86 is: 3,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.96 : 9,187.16 = 2,227.86 : x
  2. Step 2: Convert to fraction form
    6,123.96/9,187.16 = 2,227.86/x
  3. Step 3: Cross multiply
    6,123.96x = 9,187.16 × 2,227.86
  4. Step 4: Simplify right side
    6,123.96x = 20,467,695.14
  5. Step 5: Solve for x
    x = 20,467,695.14/6,123.96
  6. Step 6: Final answer
    x = 3,342.23

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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.