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Finding the Fourth Proportional to 9,691,880.80, 14,530,822.80 and 5,433,354.40

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Solution

The fourth proportional to 9,691,880.80, 14,530,822.80 and 5,433,354.40 is: 8,146,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691,880.80 : 14,530,822.80 = 5,433,354.40 : x
  2. Step 2: Convert to fraction form
    9,691,880.80/14,530,822.80 = 5,433,354.40/x
  3. Step 3: Cross multiply
    9,691,880.80x = 14,530,822.80 × 5,433,354.40
  4. Step 4: Simplify right side
    9,691,880.80x = 78,951,109,996,000.33
  5. Step 5: Solve for x
    x = 78,951,109,996,000.33/9,691,880.80
  6. Step 6: Final answer
    x = 8,146,108.23

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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.