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Finding the Fourth Proportional to 6,827.43, 9,397.38 and 4,834.52

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Solution

The fourth proportional to 6,827.43, 9,397.38 and 4,834.52 is: 6,654.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.43 : 9,397.38 = 4,834.52 : x
  2. Step 2: Convert to fraction form
    6,827.43/9,397.38 = 4,834.52/x
  3. Step 3: Cross multiply
    6,827.43x = 9,397.38 × 4,834.52
  4. Step 4: Simplify right side
    6,827.43x = 45,431,847.19
  5. Step 5: Solve for x
    x = 45,431,847.19/6,827.43
  6. Step 6: Final answer
    x = 6,654.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.