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Finding the Fourth Proportional to 6,475.14, 9,713.25 and 2,093.31

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Solution

The fourth proportional to 6,475.14, 9,713.25 and 2,093.31 is: 3,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.14 : 9,713.25 = 2,093.31 : x
  2. Step 2: Convert to fraction form
    6,475.14/9,713.25 = 2,093.31/x
  3. Step 3: Cross multiply
    6,475.14x = 9,713.25 × 2,093.31
  4. Step 4: Simplify right side
    6,475.14x = 20,332,843.36
  5. Step 5: Solve for x
    x = 20,332,843.36/6,475.14
  6. Step 6: Final answer
    x = 3,140.14

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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.