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Finding the Fourth Proportional to 8,194.74, 12,298.22 and 6,091.21

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Solution

The fourth proportional to 8,194.74, 12,298.22 and 6,091.21 is: 9,141.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.74 : 12,298.22 = 6,091.21 : x
  2. Step 2: Convert to fraction form
    8,194.74/12,298.22 = 6,091.21/x
  3. Step 3: Cross multiply
    8,194.74x = 12,298.22 × 6,091.21
  4. Step 4: Simplify right side
    8,194.74x = 74,911,040.65
  5. Step 5: Solve for x
    x = 74,911,040.65/8,194.74
  6. Step 6: Final answer
    x = 9,141.36

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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.