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Finding the Fourth Proportional to 6,155.79, 9,234.87 and 1,996.83

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Solution

The fourth proportional to 6,155.79, 9,234.87 and 1,996.83 is: 2,995.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.79 : 9,234.87 = 1,996.83 : x
  2. Step 2: Convert to fraction form
    6,155.79/9,234.87 = 1,996.83/x
  3. Step 3: Cross multiply
    6,155.79x = 9,234.87 × 1,996.83
  4. Step 4: Simplify right side
    6,155.79x = 18,440,465.46
  5. Step 5: Solve for x
    x = 18,440,465.46/6,155.79
  6. Step 6: Final answer
    x = 2,995.63

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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.