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Finding the Fourth Proportional to 7,102,727.92, 9,795,227.76 and 4,654,449.76

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Solution

The fourth proportional to 7,102,727.92, 9,795,227.76 and 4,654,449.76 is: 6,418,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102,727.92 : 9,795,227.76 = 4,654,449.76 : x
  2. Step 2: Convert to fraction form
    7,102,727.92/9,795,227.76 = 4,654,449.76/x
  3. Step 3: Cross multiply
    7,102,727.92x = 9,795,227.76 × 4,654,449.76
  4. Step 4: Simplify right side
    7,102,727.92x = 45,591,395,496,677.34
  5. Step 5: Solve for x
    x = 45,591,395,496,677.34/7,102,727.92
  6. Step 6: Final answer
    x = 6,418,857.09

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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.