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Finding the Fourth Proportional to 6,197.34, 9,313.19 and 6,163.26

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Solution

The fourth proportional to 6,197.34, 9,313.19 and 6,163.26 is: 9,261.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.34 : 9,313.19 = 6,163.26 : x
  2. Step 2: Convert to fraction form
    6,197.34/9,313.19 = 6,163.26/x
  3. Step 3: Cross multiply
    6,197.34x = 9,313.19 × 6,163.26
  4. Step 4: Simplify right side
    6,197.34x = 57,399,568.77
  5. Step 5: Solve for x
    x = 57,399,568.77/6,197.34
  6. Step 6: Final answer
    x = 9,261.96

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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.