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Finding the Fourth Proportional to 9,659,584.31, 14,489,872.79 and 2,471,180.57

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Solution

The fourth proportional to 9,659,584.31, 14,489,872.79 and 2,471,180.57 is: 3,706,897.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659,584.31 : 14,489,872.79 = 2,471,180.57 : x
  2. Step 2: Convert to fraction form
    9,659,584.31/14,489,872.79 = 2,471,180.57/x
  3. Step 3: Cross multiply
    9,659,584.31x = 14,489,872.79 × 2,471,180.57
  4. Step 4: Simplify right side
    9,659,584.31x = 35,807,092,088,063.79
  5. Step 5: Solve for x
    x = 35,807,092,088,063.79/9,659,584.31
  6. Step 6: Final answer
    x = 3,706,897.83

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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.