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Finding the Fourth Proportional to 9,198.57, 13,796.60 and 4,003.77

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Solution

The fourth proportional to 9,198.57, 13,796.60 and 4,003.77 is: 6,005.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.57 : 13,796.60 = 4,003.77 : x
  2. Step 2: Convert to fraction form
    9,198.57/13,796.60 = 4,003.77/x
  3. Step 3: Cross multiply
    9,198.57x = 13,796.60 × 4,003.77
  4. Step 4: Simplify right side
    9,198.57x = 55,238,393.16
  5. Step 5: Solve for x
    x = 55,238,393.16/9,198.57
  6. Step 6: Final answer
    x = 6,005.11

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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.