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Finding the Fourth Proportional to 6,835.38, 9,429.17 and 4,593.40

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Solution

The fourth proportional to 6,835.38, 9,429.17 and 4,593.40 is: 6,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.38 : 9,429.17 = 4,593.40 : x
  2. Step 2: Convert to fraction form
    6,835.38/9,429.17 = 4,593.40/x
  3. Step 3: Cross multiply
    6,835.38x = 9,429.17 × 4,593.40
  4. Step 4: Simplify right side
    6,835.38x = 43,311,949.48
  5. Step 5: Solve for x
    x = 43,311,949.48/6,835.38
  6. Step 6: Final answer
    x = 6,336.44

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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.