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Finding the Fourth Proportional to 9,608.45, 14,414.70 and 3,035.30

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Solution

The fourth proportional to 9,608.45, 14,414.70 and 3,035.30 is: 4,553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.45 : 14,414.70 = 3,035.30 : x
  2. Step 2: Convert to fraction form
    9,608.45/14,414.70 = 3,035.30/x
  3. Step 3: Cross multiply
    9,608.45x = 14,414.70 × 3,035.30
  4. Step 4: Simplify right side
    9,608.45x = 43,752,938.91
  5. Step 5: Solve for x
    x = 43,752,938.91/9,608.45
  6. Step 6: Final answer
    x = 4,553.59

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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.