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Finding the Fourth Proportional to 9,388.14, 12,934.79 and 6,195.76

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Solution

The fourth proportional to 9,388.14, 12,934.79 and 6,195.76 is: 8,536.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.14 : 12,934.79 = 6,195.76 : x
  2. Step 2: Convert to fraction form
    9,388.14/12,934.79 = 6,195.76/x
  3. Step 3: Cross multiply
    9,388.14x = 12,934.79 × 6,195.76
  4. Step 4: Simplify right side
    9,388.14x = 80,140,814.41
  5. Step 5: Solve for x
    x = 80,140,814.41/9,388.14
  6. Step 6: Final answer
    x = 8,536.39

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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.