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Finding the Fourth Proportional to 9,114.13, 13,672.41 and 3,192.22

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Solution

The fourth proportional to 9,114.13, 13,672.41 and 3,192.22 is: 4,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.13 : 13,672.41 = 3,192.22 : x
  2. Step 2: Convert to fraction form
    9,114.13/13,672.41 = 3,192.22/x
  3. Step 3: Cross multiply
    9,114.13x = 13,672.41 × 3,192.22
  4. Step 4: Simplify right side
    9,114.13x = 43,645,340.65
  5. Step 5: Solve for x
    x = 43,645,340.65/9,114.13
  6. Step 6: Final answer
    x = 4,788.76

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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.