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Finding the Fourth Proportional to 6,474,606.80, 9,711,910.20 and 5,214,894.80

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Solution

The fourth proportional to 6,474,606.80, 9,711,910.20 and 5,214,894.80 is: 7,822,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474,606.80 : 9,711,910.20 = 5,214,894.80 : x
  2. Step 2: Convert to fraction form
    6,474,606.80/9,711,910.20 = 5,214,894.80/x
  3. Step 3: Cross multiply
    6,474,606.80x = 9,711,910.20 × 5,214,894.80
  4. Step 4: Simplify right side
    6,474,606.80x = 50,646,590,000,046.95
  5. Step 5: Solve for x
    x = 50,646,590,000,046.95/6,474,606.80
  6. Step 6: Final answer
    x = 7,822,342.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.