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Finding the Fourth Proportional to 6,223.81, 9,313.77 and 3,884.91

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Solution

The fourth proportional to 6,223.81, 9,313.77 and 3,884.91 is: 5,813.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.81 : 9,313.77 = 3,884.91 : x
  2. Step 2: Convert to fraction form
    6,223.81/9,313.77 = 3,884.91/x
  3. Step 3: Cross multiply
    6,223.81x = 9,313.77 × 3,884.91
  4. Step 4: Simplify right side
    6,223.81x = 36,183,158.21
  5. Step 5: Solve for x
    x = 36,183,158.21/6,223.81
  6. Step 6: Final answer
    x = 5,813.67

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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.