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Finding the Fourth Proportional to 8,128.35, 12,194.01 and 3,197.88

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Solution

The fourth proportional to 8,128.35, 12,194.01 and 3,197.88 is: 4,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.35 : 12,194.01 = 3,197.88 : x
  2. Step 2: Convert to fraction form
    8,128.35/12,194.01 = 3,197.88/x
  3. Step 3: Cross multiply
    8,128.35x = 12,194.01 × 3,197.88
  4. Step 4: Simplify right side
    8,128.35x = 38,994,980.70
  5. Step 5: Solve for x
    x = 38,994,980.70/8,128.35
  6. Step 6: Final answer
    x = 4,797.40

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