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Finding the Fourth Proportional to 6,794,408.25, 9,376,542.09 and 3,894,358.77

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Solution

The fourth proportional to 6,794,408.25, 9,376,542.09 and 3,894,358.77 is: 5,374,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794,408.25 : 9,376,542.09 = 3,894,358.77 : x
  2. Step 2: Convert to fraction form
    6,794,408.25/9,376,542.09 = 3,894,358.77/x
  3. Step 3: Cross multiply
    6,794,408.25x = 9,376,542.09 × 3,894,358.77
  4. Step 4: Simplify right side
    6,794,408.25x = 36,515,618,920,465.62
  5. Step 5: Solve for x
    x = 36,515,618,920,465.62/6,794,408.25
  6. Step 6: Final answer
    x = 5,374,363.38

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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.