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Finding the Fourth Proportional to 9,122.62, 13,684.34 and 2,797.05

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Solution

The fourth proportional to 9,122.62, 13,684.34 and 2,797.05 is: 4,195.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.62 : 13,684.34 = 2,797.05 : x
  2. Step 2: Convert to fraction form
    9,122.62/13,684.34 = 2,797.05/x
  3. Step 3: Cross multiply
    9,122.62x = 13,684.34 × 2,797.05
  4. Step 4: Simplify right side
    9,122.62x = 38,275,783.20
  5. Step 5: Solve for x
    x = 38,275,783.20/9,122.62
  6. Step 6: Final answer
    x = 4,195.70

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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.