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Finding the Fourth Proportional to 9,823.05, 14,735.04 and 3,249.09

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Solution

The fourth proportional to 9,823.05, 14,735.04 and 3,249.09 is: 4,873.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.05 : 14,735.04 = 3,249.09 : x
  2. Step 2: Convert to fraction form
    9,823.05/14,735.04 = 3,249.09/x
  3. Step 3: Cross multiply
    9,823.05x = 14,735.04 × 3,249.09
  4. Step 4: Simplify right side
    9,823.05x = 47,875,471.11
  5. Step 5: Solve for x
    x = 47,875,471.11/9,823.05
  6. Step 6: Final answer
    x = 4,873.79

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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.