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Finding the Fourth Proportional to 9,493.57, 14,249.03 and 4,816.80

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Solution

The fourth proportional to 9,493.57, 14,249.03 and 4,816.80 is: 7,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.57 : 14,249.03 = 4,816.80 : x
  2. Step 2: Convert to fraction form
    9,493.57/14,249.03 = 4,816.80/x
  3. Step 3: Cross multiply
    9,493.57x = 14,249.03 × 4,816.80
  4. Step 4: Simplify right side
    9,493.57x = 68,634,727.70
  5. Step 5: Solve for x
    x = 68,634,727.70/9,493.57
  6. Step 6: Final answer
    x = 7,229.60

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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.