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Finding the Fourth Proportional to 6,552.87, 9,826 and 3,267.78

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Solution

The fourth proportional to 6,552.87, 9,826 and 3,267.78 is: 4,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.87 : 9,826 = 3,267.78 : x
  2. Step 2: Convert to fraction form
    6,552.87/9,826 = 3,267.78/x
  3. Step 3: Cross multiply
    6,552.87x = 9,826 × 3,267.78
  4. Step 4: Simplify right side
    6,552.87x = 32,109,206.28
  5. Step 5: Solve for x
    x = 32,109,206.28/6,552.87
  6. Step 6: Final answer
    x = 4,900.02

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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.