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Finding the Fourth Proportional to 9,323.68, 12,868.38 and 6,179.80

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Solution

The fourth proportional to 9,323.68, 12,868.38 and 6,179.80 is: 8,529.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.68 : 12,868.38 = 6,179.80 : x
  2. Step 2: Convert to fraction form
    9,323.68/12,868.38 = 6,179.80/x
  3. Step 3: Cross multiply
    9,323.68x = 12,868.38 × 6,179.80
  4. Step 4: Simplify right side
    9,323.68x = 79,524,014.72
  5. Step 5: Solve for x
    x = 79,524,014.72/9,323.68
  6. Step 6: Final answer
    x = 8,529.25

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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.