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Finding the Fourth Proportional to 6,141.06, 9,212.52 and 2,244.54

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Solution

The fourth proportional to 6,141.06, 9,212.52 and 2,244.54 is: 3,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.06 : 9,212.52 = 2,244.54 : x
  2. Step 2: Convert to fraction form
    6,141.06/9,212.52 = 2,244.54/x
  3. Step 3: Cross multiply
    6,141.06x = 9,212.52 × 2,244.54
  4. Step 4: Simplify right side
    6,141.06x = 20,677,869.64
  5. Step 5: Solve for x
    x = 20,677,869.64/6,141.06
  6. Step 6: Final answer
    x = 3,367.15

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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.