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Finding the Fourth Proportional to 6,962,202.40, 9,607,866.96 and 3,906,217.12

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Solution

The fourth proportional to 6,962,202.40, 9,607,866.96 and 3,906,217.12 is: 5,390,595.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962,202.40 : 9,607,866.96 = 3,906,217.12 : x
  2. Step 2: Convert to fraction form
    6,962,202.40/9,607,866.96 = 3,906,217.12/x
  3. Step 3: Cross multiply
    6,962,202.40x = 9,607,866.96 × 3,906,217.12
  4. Step 4: Simplify right side
    6,962,202.40x = 37,530,414,405,834.36
  5. Step 5: Solve for x
    x = 37,530,414,405,834.36/6,962,202.40
  6. Step 6: Final answer
    x = 5,390,595.14

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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.