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Finding the Fourth Proportional to 9,286.62, 12,818.07 and 5,980.38

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Solution

The fourth proportional to 9,286.62, 12,818.07 and 5,980.38 is: 8,254.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.62 : 12,818.07 = 5,980.38 : x
  2. Step 2: Convert to fraction form
    9,286.62/12,818.07 = 5,980.38/x
  3. Step 3: Cross multiply
    9,286.62x = 12,818.07 × 5,980.38
  4. Step 4: Simplify right side
    9,286.62x = 76,656,929.47
  5. Step 5: Solve for x
    x = 76,656,929.47/9,286.62
  6. Step 6: Final answer
    x = 8,254.56

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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.