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Finding the Fourth Proportional to 6,197.37, 9,296.34 and 1,814.85

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Solution

The fourth proportional to 6,197.37, 9,296.34 and 1,814.85 is: 2,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.37 : 9,296.34 = 1,814.85 : x
  2. Step 2: Convert to fraction form
    6,197.37/9,296.34 = 1,814.85/x
  3. Step 3: Cross multiply
    6,197.37x = 9,296.34 × 1,814.85
  4. Step 4: Simplify right side
    6,197.37x = 16,871,462.65
  5. Step 5: Solve for x
    x = 16,871,462.65/6,197.37
  6. Step 6: Final answer
    x = 2,722.36

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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.