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Finding the Fourth Proportional to 6,847.02, 9,448.65 and 4,198.86

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Solution

The fourth proportional to 6,847.02, 9,448.65 and 4,198.86 is: 5,794.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.02 : 9,448.65 = 4,198.86 : x
  2. Step 2: Convert to fraction form
    6,847.02/9,448.65 = 4,198.86/x
  3. Step 3: Cross multiply
    6,847.02x = 9,448.65 × 4,198.86
  4. Step 4: Simplify right side
    6,847.02x = 39,673,558.54
  5. Step 5: Solve for x
    x = 39,673,558.54/6,847.02
  6. Step 6: Final answer
    x = 5,794.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.