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Finding the Fourth Proportional to 6,163.07, 9,230.25 and 4,771.93

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Solution

The fourth proportional to 6,163.07, 9,230.25 and 4,771.93 is: 7,146.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.07 : 9,230.25 = 4,771.93 : x
  2. Step 2: Convert to fraction form
    6,163.07/9,230.25 = 4,771.93/x
  3. Step 3: Cross multiply
    6,163.07x = 9,230.25 × 4,771.93
  4. Step 4: Simplify right side
    6,163.07x = 44,046,106.88
  5. Step 5: Solve for x
    x = 44,046,106.88/6,163.07
  6. Step 6: Final answer
    x = 7,146.78

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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.