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Finding the Fourth Proportional to 8,793.22, 13,193.07 and 4,114.75

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Solution

The fourth proportional to 8,793.22, 13,193.07 and 4,114.75 is: 6,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,793.22 : 13,193.07 = 4,114.75 : x
  2. Step 2: Convert to fraction form
    8,793.22/13,193.07 = 4,114.75/x
  3. Step 3: Cross multiply
    8,793.22x = 13,193.07 × 4,114.75
  4. Step 4: Simplify right side
    8,793.22x = 54,286,184.78
  5. Step 5: Solve for x
    x = 54,286,184.78/8,793.22
  6. Step 6: Final answer
    x = 6,173.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.