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Finding the Fourth Proportional to 9,344.82, 12,891.96 and 5,986.92

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Solution

The fourth proportional to 9,344.82, 12,891.96 and 5,986.92 is: 8,259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.82 : 12,891.96 = 5,986.92 : x
  2. Step 2: Convert to fraction form
    9,344.82/12,891.96 = 5,986.92/x
  3. Step 3: Cross multiply
    9,344.82x = 12,891.96 × 5,986.92
  4. Step 4: Simplify right side
    9,344.82x = 77,183,133.16
  5. Step 5: Solve for x
    x = 77,183,133.16/9,344.82
  6. Step 6: Final answer
    x = 8,259.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.