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Finding the Fourth Proportional to 9,653.73, 14,471.31 and 3,726.25

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Solution

The fourth proportional to 9,653.73, 14,471.31 and 3,726.25 is: 5,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.73 : 14,471.31 = 3,726.25 : x
  2. Step 2: Convert to fraction form
    9,653.73/14,471.31 = 3,726.25/x
  3. Step 3: Cross multiply
    9,653.73x = 14,471.31 × 3,726.25
  4. Step 4: Simplify right side
    9,653.73x = 53,923,757.12
  5. Step 5: Solve for x
    x = 53,923,757.12/9,653.73
  6. Step 6: Final answer
    x = 5,585.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.