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Finding the Fourth Proportional to 9,198.45, 13,804.77 and 6,529.86

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Solution

The fourth proportional to 9,198.45, 13,804.77 and 6,529.86 is: 9,799.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.45 : 13,804.77 = 6,529.86 : x
  2. Step 2: Convert to fraction form
    9,198.45/13,804.77 = 6,529.86/x
  3. Step 3: Cross multiply
    9,198.45x = 13,804.77 × 6,529.86
  4. Step 4: Simplify right side
    9,198.45x = 90,143,215.43
  5. Step 5: Solve for x
    x = 90,143,215.43/9,198.45
  6. Step 6: Final answer
    x = 9,799.83

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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.