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Finding the Fourth Proportional to 6,162.57, 9,229.50 and 4,771.43

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Solution

The fourth proportional to 6,162.57, 9,229.50 and 4,771.43 is: 7,146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.57 : 9,229.50 = 4,771.43 : x
  2. Step 2: Convert to fraction form
    6,162.57/9,229.50 = 4,771.43/x
  3. Step 3: Cross multiply
    6,162.57x = 9,229.50 × 4,771.43
  4. Step 4: Simplify right side
    6,162.57x = 44,037,913.19
  5. Step 5: Solve for x
    x = 44,037,913.19/6,162.57
  6. Step 6: Final answer
    x = 7,146.03

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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.