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Finding the Fourth Proportional to 8,141.40, 12,212.02 and 6,179.08

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Solution

The fourth proportional to 8,141.40, 12,212.02 and 6,179.08 is: 9,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.40 : 12,212.02 = 6,179.08 : x
  2. Step 2: Convert to fraction form
    8,141.40/12,212.02 = 6,179.08/x
  3. Step 3: Cross multiply
    8,141.40x = 12,212.02 × 6,179.08
  4. Step 4: Simplify right side
    8,141.40x = 75,459,048.54
  5. Step 5: Solve for x
    x = 75,459,048.54/8,141.40
  6. Step 6: Final answer
    x = 9,268.56

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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.