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Finding the Fourth Proportional to 9,640.33, 14,443.99 and 5,260.86

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Solution

The fourth proportional to 9,640.33, 14,443.99 and 5,260.86 is: 7,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.33 : 14,443.99 = 5,260.86 : x
  2. Step 2: Convert to fraction form
    9,640.33/14,443.99 = 5,260.86/x
  3. Step 3: Cross multiply
    9,640.33x = 14,443.99 × 5,260.86
  4. Step 4: Simplify right side
    9,640.33x = 75,987,796.08
  5. Step 5: Solve for x
    x = 75,987,796.08/9,640.33
  6. Step 6: Final answer
    x = 7,882.28

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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.