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Finding the Fourth Proportional to 6,382.26, 9,574.30 and 2,000.05

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Solution

The fourth proportional to 6,382.26, 9,574.30 and 2,000.05 is: 3,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.26 : 9,574.30 = 2,000.05 : x
  2. Step 2: Convert to fraction form
    6,382.26/9,574.30 = 2,000.05/x
  3. Step 3: Cross multiply
    6,382.26x = 9,574.30 × 2,000.05
  4. Step 4: Simplify right side
    6,382.26x = 19,149,078.72
  5. Step 5: Solve for x
    x = 19,149,078.72/6,382.26
  6. Step 6: Final answer
    x = 3,000.36

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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.