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Finding the Fourth Proportional to 9,500.21, 14,247.83 and 2,835.14

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Solution

The fourth proportional to 9,500.21, 14,247.83 and 2,835.14 is: 4,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.21 : 14,247.83 = 2,835.14 : x
  2. Step 2: Convert to fraction form
    9,500.21/14,247.83 = 2,835.14/x
  3. Step 3: Cross multiply
    9,500.21x = 14,247.83 × 2,835.14
  4. Step 4: Simplify right side
    9,500.21x = 40,394,507.33
  5. Step 5: Solve for x
    x = 40,394,507.33/9,500.21
  6. Step 6: Final answer
    x = 4,251.96

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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.