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Finding the Fourth Proportional to 9,204.77, 13,809.37 and 2,965.38

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Solution

The fourth proportional to 9,204.77, 13,809.37 and 2,965.38 is: 4,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.77 : 13,809.37 = 2,965.38 : x
  2. Step 2: Convert to fraction form
    9,204.77/13,809.37 = 2,965.38/x
  3. Step 3: Cross multiply
    9,204.77x = 13,809.37 × 2,965.38
  4. Step 4: Simplify right side
    9,204.77x = 40,949,975.97
  5. Step 5: Solve for x
    x = 40,949,975.97/9,204.77
  6. Step 6: Final answer
    x = 4,448.78

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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.