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Finding the Fourth Proportional to 9,290.70, 13,936.05 and 3,446.15

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Solution

The fourth proportional to 9,290.70, 13,936.05 and 3,446.15 is: 5,169.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.70 : 13,936.05 = 3,446.15 : x
  2. Step 2: Convert to fraction form
    9,290.70/13,936.05 = 3,446.15/x
  3. Step 3: Cross multiply
    9,290.70x = 13,936.05 × 3,446.15
  4. Step 4: Simplify right side
    9,290.70x = 48,025,649.03
  5. Step 5: Solve for x
    x = 48,025,649.03/9,290.70
  6. Step 6: Final answer
    x = 5,169.22

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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.