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Finding the Fourth Proportional to 6,313.70, 9,453.54 and 4,233.62

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Solution

The fourth proportional to 6,313.70, 9,453.54 and 4,233.62 is: 6,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.70 : 9,453.54 = 4,233.62 : x
  2. Step 2: Convert to fraction form
    6,313.70/9,453.54 = 4,233.62/x
  3. Step 3: Cross multiply
    6,313.70x = 9,453.54 × 4,233.62
  4. Step 4: Simplify right side
    6,313.70x = 40,022,735.52
  5. Step 5: Solve for x
    x = 40,022,735.52/6,313.70
  6. Step 6: Final answer
    x = 6,339.03

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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.