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Finding the Fourth Proportional to 6,155.49, 9,234.15 and 1,994.11

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Solution

The fourth proportional to 6,155.49, 9,234.15 and 1,994.11 is: 2,991.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.49 : 9,234.15 = 1,994.11 : x
  2. Step 2: Convert to fraction form
    6,155.49/9,234.15 = 1,994.11/x
  3. Step 3: Cross multiply
    6,155.49x = 9,234.15 × 1,994.11
  4. Step 4: Simplify right side
    6,155.49x = 18,413,910.86
  5. Step 5: Solve for x
    x = 18,413,910.86/6,155.49
  6. Step 6: Final answer
    x = 2,991.46

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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.