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Finding the Fourth Proportional to 6,446,164.43, 8,895,711.47 and 3,545,775.97

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Solution

The fourth proportional to 6,446,164.43, 8,895,711.47 and 3,545,775.97 is: 4,893,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446,164.43 : 8,895,711.47 = 3,545,775.97 : x
  2. Step 2: Convert to fraction form
    6,446,164.43/8,895,711.47 = 3,545,775.97/x
  3. Step 3: Cross multiply
    6,446,164.43x = 8,895,711.47 × 3,545,775.97
  4. Step 4: Simplify right side
    6,446,164.43x = 31,542,199,926,411.21
  5. Step 5: Solve for x
    x = 31,542,199,926,411.21/6,446,164.43
  6. Step 6: Final answer
    x = 4,893,173.34

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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.