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Finding the Fourth Proportional to 6,313.38, 9,474.14 and 2,850.63

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Solution

The fourth proportional to 6,313.38, 9,474.14 and 2,850.63 is: 4,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.38 : 9,474.14 = 2,850.63 : x
  2. Step 2: Convert to fraction form
    6,313.38/9,474.14 = 2,850.63/x
  3. Step 3: Cross multiply
    6,313.38x = 9,474.14 × 2,850.63
  4. Step 4: Simplify right side
    6,313.38x = 27,007,267.71
  5. Step 5: Solve for x
    x = 27,007,267.71/6,313.38
  6. Step 6: Final answer
    x = 4,277.78

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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.