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Finding the Fourth Proportional to 9,662.70, 14,472.05 and 5,759.04

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Solution

The fourth proportional to 9,662.70, 14,472.05 and 5,759.04 is: 8,625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.70 : 14,472.05 = 5,759.04 : x
  2. Step 2: Convert to fraction form
    9,662.70/14,472.05 = 5,759.04/x
  3. Step 3: Cross multiply
    9,662.70x = 14,472.05 × 5,759.04
  4. Step 4: Simplify right side
    9,662.70x = 83,345,086.04
  5. Step 5: Solve for x
    x = 83,345,086.04/9,662.70
  6. Step 6: Final answer
    x = 8,625.44

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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.