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Finding the Fourth Proportional to 9,650.52, 14,470.38 and 3,805.56

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Solution

The fourth proportional to 9,650.52, 14,470.38 and 3,805.56 is: 5,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.52 : 14,470.38 = 3,805.56 : x
  2. Step 2: Convert to fraction form
    9,650.52/14,470.38 = 3,805.56/x
  3. Step 3: Cross multiply
    9,650.52x = 14,470.38 × 3,805.56
  4. Step 4: Simplify right side
    9,650.52x = 55,067,899.31
  5. Step 5: Solve for x
    x = 55,067,899.31/9,650.52
  6. Step 6: Final answer
    x = 5,706.21

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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.