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Finding the Fourth Proportional to 6,184.79, 9,274.84 and 2,234.98

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Solution

The fourth proportional to 6,184.79, 9,274.84 and 2,234.98 is: 3,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.79 : 9,274.84 = 2,234.98 : x
  2. Step 2: Convert to fraction form
    6,184.79/9,274.84 = 2,234.98/x
  3. Step 3: Cross multiply
    6,184.79x = 9,274.84 × 2,234.98
  4. Step 4: Simplify right side
    6,184.79x = 20,729,081.90
  5. Step 5: Solve for x
    x = 20,729,081.90/6,184.79
  6. Step 6: Final answer
    x = 3,351.62

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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.