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Finding the Fourth Proportional to 6,180.96, 9,270.23 and 3,958.77

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Solution

The fourth proportional to 6,180.96, 9,270.23 and 3,958.77 is: 5,937.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.96 : 9,270.23 = 3,958.77 : x
  2. Step 2: Convert to fraction form
    6,180.96/9,270.23 = 3,958.77/x
  3. Step 3: Cross multiply
    6,180.96x = 9,270.23 × 3,958.77
  4. Step 4: Simplify right side
    6,180.96x = 36,698,688.62
  5. Step 5: Solve for x
    x = 36,698,688.62/6,180.96
  6. Step 6: Final answer
    x = 5,937.38

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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.