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Finding the Fourth Proportional to 8,786.86, 13,182.45 and 6,194.86

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Solution

The fourth proportional to 8,786.86, 13,182.45 and 6,194.86 is: 9,293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.86 : 13,182.45 = 6,194.86 : x
  2. Step 2: Convert to fraction form
    8,786.86/13,182.45 = 6,194.86/x
  3. Step 3: Cross multiply
    8,786.86x = 13,182.45 × 6,194.86
  4. Step 4: Simplify right side
    8,786.86x = 81,663,432.21
  5. Step 5: Solve for x
    x = 81,663,432.21/8,786.86
  6. Step 6: Final answer
    x = 9,293.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.