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Finding the Fourth Proportional to 9,274.20, 12,785.22 and 5,735.40

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Solution

The fourth proportional to 9,274.20, 12,785.22 and 5,735.40 is: 7,906.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.20 : 12,785.22 = 5,735.40 : x
  2. Step 2: Convert to fraction form
    9,274.20/12,785.22 = 5,735.40/x
  3. Step 3: Cross multiply
    9,274.20x = 12,785.22 × 5,735.40
  4. Step 4: Simplify right side
    9,274.20x = 73,328,350.79
  5. Step 5: Solve for x
    x = 73,328,350.79/9,274.20
  6. Step 6: Final answer
    x = 7,906.70

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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.