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Finding the Fourth Proportional to 9,361.92, 14,041.62 and 2,786.88

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Solution

The fourth proportional to 9,361.92, 14,041.62 and 2,786.88 is: 4,179.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.92 : 14,041.62 = 2,786.88 : x
  2. Step 2: Convert to fraction form
    9,361.92/14,041.62 = 2,786.88/x
  3. Step 3: Cross multiply
    9,361.92x = 14,041.62 × 2,786.88
  4. Step 4: Simplify right side
    9,361.92x = 39,132,309.95
  5. Step 5: Solve for x
    x = 39,132,309.95/9,361.92
  6. Step 6: Final answer
    x = 4,179.94

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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.