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Finding the Fourth Proportional to 9,229.14, 12,735.02 and 5,195.46

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Solution

The fourth proportional to 9,229.14, 12,735.02 and 5,195.46 is: 7,169.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.14 : 12,735.02 = 5,195.46 : x
  2. Step 2: Convert to fraction form
    9,229.14/12,735.02 = 5,195.46/x
  3. Step 3: Cross multiply
    9,229.14x = 12,735.02 × 5,195.46
  4. Step 4: Simplify right side
    9,229.14x = 66,164,276.12
  5. Step 5: Solve for x
    x = 66,164,276.12/9,229.14
  6. Step 6: Final answer
    x = 7,169.06

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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.