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Finding the Fourth Proportional to 8,141.60, 12,212.40 and 6,197.60

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Solution

The fourth proportional to 8,141.60, 12,212.40 and 6,197.60 is: 9,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.60 : 12,212.40 = 6,197.60 : x
  2. Step 2: Convert to fraction form
    8,141.60/12,212.40 = 6,197.60/x
  3. Step 3: Cross multiply
    8,141.60x = 12,212.40 × 6,197.60
  4. Step 4: Simplify right side
    8,141.60x = 75,687,570.24
  5. Step 5: Solve for x
    x = 75,687,570.24/8,141.60
  6. Step 6: Final answer
    x = 9,296.40

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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.