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Finding the Fourth Proportional to 8,132.92, 12,194.60 and 3,914.29

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Solution

The fourth proportional to 8,132.92, 12,194.60 and 3,914.29 is: 5,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.92 : 12,194.60 = 3,914.29 : x
  2. Step 2: Convert to fraction form
    8,132.92/12,194.60 = 3,914.29/x
  3. Step 3: Cross multiply
    8,132.92x = 12,194.60 × 3,914.29
  4. Step 4: Simplify right side
    8,132.92x = 47,733,196.51
  5. Step 5: Solve for x
    x = 47,733,196.51/8,132.92
  6. Step 6: Final answer
    x = 5,869.14

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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.