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Finding the Fourth Proportional to 9,832.68, 14,753.34 and 3,259.80

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Solution

The fourth proportional to 9,832.68, 14,753.34 and 3,259.80 is: 4,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.68 : 14,753.34 = 3,259.80 : x
  2. Step 2: Convert to fraction form
    9,832.68/14,753.34 = 3,259.80/x
  3. Step 3: Cross multiply
    9,832.68x = 14,753.34 × 3,259.80
  4. Step 4: Simplify right side
    9,832.68x = 48,092,937.73
  5. Step 5: Solve for x
    x = 48,092,937.73/9,832.68
  6. Step 6: Final answer
    x = 4,891.13

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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.