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Finding the Fourth Proportional to 6,550.80, 9,788.34 and 5,514

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Solution

The fourth proportional to 6,550.80, 9,788.34 and 5,514 is: 8,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.80 : 9,788.34 = 5,514 : x
  2. Step 2: Convert to fraction form
    6,550.80/9,788.34 = 5,514/x
  3. Step 3: Cross multiply
    6,550.80x = 9,788.34 × 5,514
  4. Step 4: Simplify right side
    6,550.80x = 53,972,906.76
  5. Step 5: Solve for x
    x = 53,972,906.76/6,550.80
  6. Step 6: Final answer
    x = 8,239.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.