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Finding the Fourth Proportional to 9,205.99, 13,814.67 and 4,012.27

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Solution

The fourth proportional to 9,205.99, 13,814.67 and 4,012.27 is: 6,020.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.99 : 13,814.67 = 4,012.27 : x
  2. Step 2: Convert to fraction form
    9,205.99/13,814.67 = 4,012.27/x
  3. Step 3: Cross multiply
    9,205.99x = 13,814.67 × 4,012.27
  4. Step 4: Simplify right side
    9,205.99x = 55,428,186.00
  5. Step 5: Solve for x
    x = 55,428,186.00/9,205.99
  6. Step 6: Final answer
    x = 6,020.88

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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.