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Finding the Fourth Proportional to 9,103.68, 13,657.13 and 3,766.86

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Solution

The fourth proportional to 9,103.68, 13,657.13 and 3,766.86 is: 5,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.68 : 13,657.13 = 3,766.86 : x
  2. Step 2: Convert to fraction form
    9,103.68/13,657.13 = 3,766.86/x
  3. Step 3: Cross multiply
    9,103.68x = 13,657.13 × 3,766.86
  4. Step 4: Simplify right side
    9,103.68x = 51,444,477.88
  5. Step 5: Solve for x
    x = 51,444,477.88/9,103.68
  6. Step 6: Final answer
    x = 5,650.95

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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.