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Finding the Fourth Proportional to 6,879.90, 9,492.09 and 4,046.37

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Solution

The fourth proportional to 6,879.90, 9,492.09 and 4,046.37 is: 5,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,879.90 : 9,492.09 = 4,046.37 : x
  2. Step 2: Convert to fraction form
    6,879.90/9,492.09 = 4,046.37/x
  3. Step 3: Cross multiply
    6,879.90x = 9,492.09 × 4,046.37
  4. Step 4: Simplify right side
    6,879.90x = 38,408,508.21
  5. Step 5: Solve for x
    x = 38,408,508.21/6,879.90
  6. Step 6: Final answer
    x = 5,582.71

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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.