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Finding the Fourth Proportional to 9,224.70, 13,832.89 and 2,649.35

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Solution

The fourth proportional to 9,224.70, 13,832.89 and 2,649.35 is: 3,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.70 : 13,832.89 = 2,649.35 : x
  2. Step 2: Convert to fraction form
    9,224.70/13,832.89 = 2,649.35/x
  3. Step 3: Cross multiply
    9,224.70x = 13,832.89 × 2,649.35
  4. Step 4: Simplify right side
    9,224.70x = 36,648,101.54
  5. Step 5: Solve for x
    x = 36,648,101.54/9,224.70
  6. Step 6: Final answer
    x = 3,972.82

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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.