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Finding the Fourth Proportional to 6,313.39, 9,475.94 and 3,195.61

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Solution

The fourth proportional to 6,313.39, 9,475.94 and 3,195.61 is: 4,796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.39 : 9,475.94 = 3,195.61 : x
  2. Step 2: Convert to fraction form
    6,313.39/9,475.94 = 3,195.61/x
  3. Step 3: Cross multiply
    6,313.39x = 9,475.94 × 3,195.61
  4. Step 4: Simplify right side
    6,313.39x = 30,281,392.92
  5. Step 5: Solve for x
    x = 30,281,392.92/6,313.39
  6. Step 6: Final answer
    x = 4,796.38

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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.