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Finding the Fourth Proportional to 9,228.64, 12,734.38 and 5,194.97

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Solution

The fourth proportional to 9,228.64, 12,734.38 and 5,194.97 is: 7,168.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.64 : 12,734.38 = 5,194.97 : x
  2. Step 2: Convert to fraction form
    9,228.64/12,734.38 = 5,194.97/x
  3. Step 3: Cross multiply
    9,228.64x = 12,734.38 × 5,194.97
  4. Step 4: Simplify right side
    9,228.64x = 66,154,722.07
  5. Step 5: Solve for x
    x = 66,154,722.07/9,228.64
  6. Step 6: Final answer
    x = 7,168.42

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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.