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Finding the Fourth Proportional to 6,286.08, 9,424.26 and 4,206

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Solution

The fourth proportional to 6,286.08, 9,424.26 and 4,206 is: 6,305.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.08 : 9,424.26 = 4,206 : x
  2. Step 2: Convert to fraction form
    6,286.08/9,424.26 = 4,206/x
  3. Step 3: Cross multiply
    6,286.08x = 9,424.26 × 4,206
  4. Step 4: Simplify right side
    6,286.08x = 39,638,437.56
  5. Step 5: Solve for x
    x = 39,638,437.56/6,286.08
  6. Step 6: Final answer
    x = 6,305.75

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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.