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Finding the Fourth Proportional to 9,819.05, 14,729.04 and 3,245.09

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Solution

The fourth proportional to 9,819.05, 14,729.04 and 3,245.09 is: 4,867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.05 : 14,729.04 = 3,245.09 : x
  2. Step 2: Convert to fraction form
    9,819.05/14,729.04 = 3,245.09/x
  3. Step 3: Cross multiply
    9,819.05x = 14,729.04 × 3,245.09
  4. Step 4: Simplify right side
    9,819.05x = 47,797,060.41
  5. Step 5: Solve for x
    x = 47,797,060.41/9,819.05
  6. Step 6: Final answer
    x = 4,867.79

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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.