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Finding the Fourth Proportional to 6,319.81, 9,481.74 and 3,033.13

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Solution

The fourth proportional to 6,319.81, 9,481.74 and 3,033.13 is: 4,550.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.81 : 9,481.74 = 3,033.13 : x
  2. Step 2: Convert to fraction form
    6,319.81/9,481.74 = 3,033.13/x
  3. Step 3: Cross multiply
    6,319.81x = 9,481.74 × 3,033.13
  4. Step 4: Simplify right side
    6,319.81x = 28,759,350.05
  5. Step 5: Solve for x
    x = 28,759,350.05/6,319.81
  6. Step 6: Final answer
    x = 4,550.67

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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.