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Finding the Fourth Proportional to 9,380.89, 14,069.24 and 2,806.23

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Solution

The fourth proportional to 9,380.89, 14,069.24 and 2,806.23 is: 4,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.89 : 14,069.24 = 2,806.23 : x
  2. Step 2: Convert to fraction form
    9,380.89/14,069.24 = 2,806.23/x
  3. Step 3: Cross multiply
    9,380.89x = 14,069.24 × 2,806.23
  4. Step 4: Simplify right side
    9,380.89x = 39,481,523.37
  5. Step 5: Solve for x
    x = 39,481,523.37/9,380.89
  6. Step 6: Final answer
    x = 4,208.72

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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.