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Finding the Fourth Proportional to 6,178.86, 9,267.21 and 3,057.84

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Solution

The fourth proportional to 6,178.86, 9,267.21 and 3,057.84 is: 4,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.86 : 9,267.21 = 3,057.84 : x
  2. Step 2: Convert to fraction form
    6,178.86/9,267.21 = 3,057.84/x
  3. Step 3: Cross multiply
    6,178.86x = 9,267.21 × 3,057.84
  4. Step 4: Simplify right side
    6,178.86x = 28,337,645.43
  5. Step 5: Solve for x
    x = 28,337,645.43/6,178.86
  6. Step 6: Final answer
    x = 4,586.23

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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.