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Finding the Fourth Proportional to 6,364.37, 9,551.82 and 3,246.68

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Solution

The fourth proportional to 6,364.37, 9,551.82 and 3,246.68 is: 4,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.37 : 9,551.82 = 3,246.68 : x
  2. Step 2: Convert to fraction form
    6,364.37/9,551.82 = 3,246.68/x
  3. Step 3: Cross multiply
    6,364.37x = 9,551.82 × 3,246.68
  4. Step 4: Simplify right side
    6,364.37x = 31,011,739.01
  5. Step 5: Solve for x
    x = 31,011,739.01/6,364.37
  6. Step 6: Final answer
    x = 4,872.71

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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.