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Finding the Fourth Proportional to 8,194.93, 12,291.18 and 4,033.81

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Solution

The fourth proportional to 8,194.93, 12,291.18 and 4,033.81 is: 6,050.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.93 : 12,291.18 = 4,033.81 : x
  2. Step 2: Convert to fraction form
    8,194.93/12,291.18 = 4,033.81/x
  3. Step 3: Cross multiply
    8,194.93x = 12,291.18 × 4,033.81
  4. Step 4: Simplify right side
    8,194.93x = 49,580,284.80
  5. Step 5: Solve for x
    x = 49,580,284.80/8,194.93
  6. Step 6: Final answer
    x = 6,050.12

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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.