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Finding the Fourth Proportional to 9,825.31, 14,737.97 and 3,249.73

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Solution

The fourth proportional to 9,825.31, 14,737.97 and 3,249.73 is: 4,874.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.31 : 14,737.97 = 3,249.73 : x
  2. Step 2: Convert to fraction form
    9,825.31/14,737.97 = 3,249.73/x
  3. Step 3: Cross multiply
    9,825.31x = 14,737.97 × 3,249.73
  4. Step 4: Simplify right side
    9,825.31x = 47,894,423.25
  5. Step 5: Solve for x
    x = 47,894,423.25/9,825.31
  6. Step 6: Final answer
    x = 4,874.60

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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.