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Finding the Fourth Proportional to 6,380,463.97, 9,562,146.91 and 5,971,855.82

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Solution

The fourth proportional to 6,380,463.97, 9,562,146.91 and 5,971,855.82 is: 8,949,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380,463.97 : 9,562,146.91 = 5,971,855.82 : x
  2. Step 2: Convert to fraction form
    6,380,463.97/9,562,146.91 = 5,971,855.82/x
  3. Step 3: Cross multiply
    6,380,463.97x = 9,562,146.91 × 5,971,855.82
  4. Step 4: Simplify right side
    6,380,463.97x = 57,103,762,676,178.52
  5. Step 5: Solve for x
    x = 57,103,762,676,178.52/6,380,463.97
  6. Step 6: Final answer
    x = 8,949,782.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.