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Finding the Fourth Proportional to 6,469,884.60, 9,704,826.90 and 6,427,894.20

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Solution

The fourth proportional to 6,469,884.60, 9,704,826.90 and 6,427,894.20 is: 9,641,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469,884.60 : 9,704,826.90 = 6,427,894.20 : x
  2. Step 2: Convert to fraction form
    6,469,884.60/9,704,826.90 = 6,427,894.20/x
  3. Step 3: Cross multiply
    6,469,884.60x = 9,704,826.90 × 6,427,894.20
  4. Step 4: Simplify right side
    6,469,884.60x = 62,381,600,542,513.98
  5. Step 5: Solve for x
    x = 62,381,600,542,513.98/6,469,884.60
  6. Step 6: Final answer
    x = 9,641,841.30

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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.