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Finding the Fourth Proportional to 6,564,793.80, 9,841,661.10 and 3,412,921.80

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Solution

The fourth proportional to 6,564,793.80, 9,841,661.10 and 3,412,921.80 is: 5,116,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,793.80 : 9,841,661.10 = 3,412,921.80 : x
  2. Step 2: Convert to fraction form
    6,564,793.80/9,841,661.10 = 3,412,921.80/x
  3. Step 3: Cross multiply
    6,564,793.80x = 9,841,661.10 × 3,412,921.80
  4. Step 4: Simplify right side
    6,564,793.80x = 33,588,819,716,401.98
  5. Step 5: Solve for x
    x = 33,588,819,716,401.98/6,564,793.80
  6. Step 6: Final answer
    x = 5,116,507.96

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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.