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Finding the Fourth Proportional to 6,397,509.57, 9,597,944.70 and 2,299,244.31

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Solution

The fourth proportional to 6,397,509.57, 9,597,944.70 and 2,299,244.31 is: 3,449,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,509.57 : 9,597,944.70 = 2,299,244.31 : x
  2. Step 2: Convert to fraction form
    6,397,509.57/9,597,944.70 = 2,299,244.31/x
  3. Step 3: Cross multiply
    6,397,509.57x = 9,597,944.70 × 2,299,244.31
  4. Step 4: Simplify right side
    6,397,509.57x = 22,068,019,739,169.66
  5. Step 5: Solve for x
    x = 22,068,019,739,169.66/6,397,509.57
  6. Step 6: Final answer
    x = 3,449,470.38

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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.