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Finding the Fourth Proportional to 9,981,907.82, 13,775,074.30 and 5,398,229.20

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Solution

The fourth proportional to 9,981,907.82, 13,775,074.30 and 5,398,229.20 is: 7,449,578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981,907.82 : 13,775,074.30 = 5,398,229.20 : x
  2. Step 2: Convert to fraction form
    9,981,907.82/13,775,074.30 = 5,398,229.20/x
  3. Step 3: Cross multiply
    9,981,907.82x = 13,775,074.30 × 5,398,229.20
  4. Step 4: Simplify right side
    9,981,907.82x = 74,361,008,318,429.56
  5. Step 5: Solve for x
    x = 74,361,008,318,429.56/9,981,907.82
  6. Step 6: Final answer
    x = 7,449,578.74

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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.