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Finding the Fourth Proportional to 9,405.68, 12,979.84 and 5,868.88

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Solution

The fourth proportional to 9,405.68, 12,979.84 and 5,868.88 is: 8,099.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.68 : 12,979.84 = 5,868.88 : x
  2. Step 2: Convert to fraction form
    9,405.68/12,979.84 = 5,868.88/x
  3. Step 3: Cross multiply
    9,405.68x = 12,979.84 × 5,868.88
  4. Step 4: Simplify right side
    9,405.68x = 76,177,123.38
  5. Step 5: Solve for x
    x = 76,177,123.38/9,405.68
  6. Step 6: Final answer
    x = 8,099.06

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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.