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Finding the Fourth Proportional to 6,821,509.74, 9,413,625.70 and 3,765,658.38

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Solution

The fourth proportional to 6,821,509.74, 9,413,625.70 and 3,765,658.38 is: 5,196,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821,509.74 : 9,413,625.70 = 3,765,658.38 : x
  2. Step 2: Convert to fraction form
    6,821,509.74/9,413,625.70 = 3,765,658.38/x
  3. Step 3: Cross multiply
    6,821,509.74x = 9,413,625.70 × 3,765,658.38
  4. Step 4: Simplify right side
    6,821,509.74x = 35,448,498,503,388.36
  5. Step 5: Solve for x
    x = 35,448,498,503,388.36/6,821,509.74
  6. Step 6: Final answer
    x = 5,196,576.69

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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.