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Finding the Fourth Proportional to 6,497,469.87, 8,966,614.14 and 3,557,237.34

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Solution

The fourth proportional to 6,497,469.87, 8,966,614.14 and 3,557,237.34 is: 4,909,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497,469.87 : 8,966,614.14 = 3,557,237.34 : x
  2. Step 2: Convert to fraction form
    6,497,469.87/8,966,614.14 = 3,557,237.34/x
  3. Step 3: Cross multiply
    6,497,469.87x = 8,966,614.14 × 3,557,237.34
  4. Step 4: Simplify right side
    6,497,469.87x = 31,896,374,632,179.99
  5. Step 5: Solve for x
    x = 31,896,374,632,179.99/6,497,469.87
  6. Step 6: Final answer
    x = 4,909,045.41

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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.