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Finding the Fourth Proportional to 9,550.67, 14,227.52 and 9,260.48

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Solution

The fourth proportional to 9,550.67, 14,227.52 and 9,260.48 is: 13,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.67 : 14,227.52 = 9,260.48 : x
  2. Step 2: Convert to fraction form
    9,550.67/14,227.52 = 9,260.48/x
  3. Step 3: Cross multiply
    9,550.67x = 14,227.52 × 9,260.48
  4. Step 4: Simplify right side
    9,550.67x = 131,753,653.68
  5. Step 5: Solve for x
    x = 131,753,653.68/9,550.67
  6. Step 6: Final answer
    x = 13,795.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.