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Finding the Fourth Proportional to 9,640.09, 14,450.29 and 5,471.29

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Solution

The fourth proportional to 9,640.09, 14,450.29 and 5,471.29 is: 8,201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.09 : 14,450.29 = 5,471.29 : x
  2. Step 2: Convert to fraction form
    9,640.09/14,450.29 = 5,471.29/x
  3. Step 3: Cross multiply
    9,640.09x = 14,450.29 × 5,471.29
  4. Step 4: Simplify right side
    9,640.09x = 79,061,727.17
  5. Step 5: Solve for x
    x = 79,061,727.17/9,640.09
  6. Step 6: Final answer
    x = 8,201.35

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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.