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Finding the Fourth Proportional to 6,550.86, 9,806.95 and 4,325.59

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Solution

The fourth proportional to 6,550.86, 9,806.95 and 4,325.59 is: 6,475.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.86 : 9,806.95 = 4,325.59 : x
  2. Step 2: Convert to fraction form
    6,550.86/9,806.95 = 4,325.59/x
  3. Step 3: Cross multiply
    6,550.86x = 9,806.95 × 4,325.59
  4. Step 4: Simplify right side
    6,550.86x = 42,420,844.85
  5. Step 5: Solve for x
    x = 42,420,844.85/6,550.86
  6. Step 6: Final answer
    x = 6,475.61

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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.