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Finding the Fourth Proportional to 9,803.24, 14,705.80 and 3,229.44

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Solution

The fourth proportional to 9,803.24, 14,705.80 and 3,229.44 is: 4,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.24 : 14,705.80 = 3,229.44 : x
  2. Step 2: Convert to fraction form
    9,803.24/14,705.80 = 3,229.44/x
  3. Step 3: Cross multiply
    9,803.24x = 14,705.80 × 3,229.44
  4. Step 4: Simplify right side
    9,803.24x = 47,491,498.75
  5. Step 5: Solve for x
    x = 47,491,498.75/9,803.24
  6. Step 6: Final answer
    x = 4,844.47

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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.