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Finding the Fourth Proportional to 9,227.30, 13,834.23 and 6,296.42

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Solution

The fourth proportional to 9,227.30, 13,834.23 and 6,296.42 is: 9,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.30 : 13,834.23 = 6,296.42 : x
  2. Step 2: Convert to fraction form
    9,227.30/13,834.23 = 6,296.42/x
  3. Step 3: Cross multiply
    9,227.30x = 13,834.23 × 6,296.42
  4. Step 4: Simplify right side
    9,227.30x = 87,106,122.46
  5. Step 5: Solve for x
    x = 87,106,122.46/9,227.30
  6. Step 6: Final answer
    x = 9,440.04

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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.