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Finding the Fourth Proportional to 9,814.05, 14,720.22 and 2,793.78

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Solution

The fourth proportional to 9,814.05, 14,720.22 and 2,793.78 is: 4,190.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.05 : 14,720.22 = 2,793.78 : x
  2. Step 2: Convert to fraction form
    9,814.05/14,720.22 = 2,793.78/x
  3. Step 3: Cross multiply
    9,814.05x = 14,720.22 × 2,793.78
  4. Step 4: Simplify right side
    9,814.05x = 41,125,056.23
  5. Step 5: Solve for x
    x = 41,125,056.23/9,814.05
  6. Step 6: Final answer
    x = 4,190.43

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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.