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Finding the Fourth Proportional to 9,230.01, 13,836.48 and 3,682

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Solution

The fourth proportional to 9,230.01, 13,836.48 and 3,682 is: 5,519.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.01 : 13,836.48 = 3,682 : x
  2. Step 2: Convert to fraction form
    9,230.01/13,836.48 = 3,682/x
  3. Step 3: Cross multiply
    9,230.01x = 13,836.48 × 3,682
  4. Step 4: Simplify right side
    9,230.01x = 50,945,919.36
  5. Step 5: Solve for x
    x = 50,945,919.36/9,230.01
  6. Step 6: Final answer
    x = 5,519.60

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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.