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Finding the Fourth Proportional to 9,290.85, 13,936.23 and 2,270.90

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Solution

The fourth proportional to 9,290.85, 13,936.23 and 2,270.90 is: 3,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.85 : 13,936.23 = 2,270.90 : x
  2. Step 2: Convert to fraction form
    9,290.85/13,936.23 = 2,270.90/x
  3. Step 3: Cross multiply
    9,290.85x = 13,936.23 × 2,270.90
  4. Step 4: Simplify right side
    9,290.85x = 31,647,819.55
  5. Step 5: Solve for x
    x = 31,647,819.55/9,290.85
  6. Step 6: Final answer
    x = 3,406.34

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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.