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Finding the Fourth Proportional to 9,474.39, 14,213.10 and 3,149.50

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Solution

The fourth proportional to 9,474.39, 14,213.10 and 3,149.50 is: 4,724.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.39 : 14,213.10 = 3,149.50 : x
  2. Step 2: Convert to fraction form
    9,474.39/14,213.10 = 3,149.50/x
  3. Step 3: Cross multiply
    9,474.39x = 14,213.10 × 3,149.50
  4. Step 4: Simplify right side
    9,474.39x = 44,764,074.84
  5. Step 5: Solve for x
    x = 44,764,074.84/9,474.39
  6. Step 6: Final answer
    x = 4,724.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.