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Finding the Fourth Proportional to 11,474.56, 15,844.22 and 9,350.40

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Solution

The fourth proportional to 11,474.56, 15,844.22 and 9,350.40 is: 12,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.56 : 15,844.22 = 9,350.40 : x
  2. Step 2: Convert to fraction form
    11,474.56/15,844.22 = 9,350.40/x
  3. Step 3: Cross multiply
    11,474.56x = 15,844.22 × 9,350.40
  4. Step 4: Simplify right side
    11,474.56x = 148,149,794.69
  5. Step 5: Solve for x
    x = 148,149,794.69/11,474.56
  6. Step 6: Final answer
    x = 12,911.15

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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.