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Finding the Fourth Proportional to 9,309.68, 13,966.02 and 3,067.88

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Solution

The fourth proportional to 9,309.68, 13,966.02 and 3,067.88 is: 4,602.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.68 : 13,966.02 = 3,067.88 : x
  2. Step 2: Convert to fraction form
    9,309.68/13,966.02 = 3,067.88/x
  3. Step 3: Cross multiply
    9,309.68x = 13,966.02 × 3,067.88
  4. Step 4: Simplify right side
    9,309.68x = 42,846,073.44
  5. Step 5: Solve for x
    x = 42,846,073.44/9,309.68
  6. Step 6: Final answer
    x = 4,602.31

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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.