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Finding the Fourth Proportional to 6,382.26, 9,573.39 and 3,783.78

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Solution

The fourth proportional to 6,382.26, 9,573.39 and 3,783.78 is: 5,675.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.26 : 9,573.39 = 3,783.78 : x
  2. Step 2: Convert to fraction form
    6,382.26/9,573.39 = 3,783.78/x
  3. Step 3: Cross multiply
    6,382.26x = 9,573.39 × 3,783.78
  4. Step 4: Simplify right side
    6,382.26x = 36,223,601.61
  5. Step 5: Solve for x
    x = 36,223,601.61/6,382.26
  6. Step 6: Final answer
    x = 5,675.67

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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.