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Finding the Fourth Proportional to 9,825.44, 14,739 and 3,251.44

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Solution

The fourth proportional to 9,825.44, 14,739 and 3,251.44 is: 4,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.44 : 14,739 = 3,251.44 : x
  2. Step 2: Convert to fraction form
    9,825.44/14,739 = 3,251.44/x
  3. Step 3: Cross multiply
    9,825.44x = 14,739 × 3,251.44
  4. Step 4: Simplify right side
    9,825.44x = 47,922,974.16
  5. Step 5: Solve for x
    x = 47,922,974.16/9,825.44
  6. Step 6: Final answer
    x = 4,877.44

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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.