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Finding the Fourth Proportional to 9,178.12, 12,672.24 and 8,107.71

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Solution

The fourth proportional to 9,178.12, 12,672.24 and 8,107.71 is: 11,194.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.12 : 12,672.24 = 8,107.71 : x
  2. Step 2: Convert to fraction form
    9,178.12/12,672.24 = 8,107.71/x
  3. Step 3: Cross multiply
    9,178.12x = 12,672.24 × 8,107.71
  4. Step 4: Simplify right side
    9,178.12x = 102,742,769.05
  5. Step 5: Solve for x
    x = 102,742,769.05/9,178.12
  6. Step 6: Final answer
    x = 11,194.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.