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Finding the Fourth Proportional to 8,159.60, 12,212.22 and 6,200.84

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Solution

The fourth proportional to 8,159.60, 12,212.22 and 6,200.84 is: 9,280.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,159.60 : 12,212.22 = 6,200.84 : x
  2. Step 2: Convert to fraction form
    8,159.60/12,212.22 = 6,200.84/x
  3. Step 3: Cross multiply
    8,159.60x = 12,212.22 × 6,200.84
  4. Step 4: Simplify right side
    8,159.60x = 75,726,022.26
  5. Step 5: Solve for x
    x = 75,726,022.26/8,159.60
  6. Step 6: Final answer
    x = 9,280.60

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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.