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Finding the Fourth Proportional to 9,825.44, 14,737.34 and 3,249.45

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Solution

The fourth proportional to 9,825.44, 14,737.34 and 3,249.45 is: 4,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.44 : 14,737.34 = 3,249.45 : x
  2. Step 2: Convert to fraction form
    9,825.44/14,737.34 = 3,249.45/x
  3. Step 3: Cross multiply
    9,825.44x = 14,737.34 × 3,249.45
  4. Step 4: Simplify right side
    9,825.44x = 47,888,257.59
  5. Step 5: Solve for x
    x = 47,888,257.59/9,825.44
  6. Step 6: Final answer
    x = 4,873.91

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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.