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Finding the Fourth Proportional to 6,382.62, 9,575.82 and 2,000.70

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Solution

The fourth proportional to 6,382.62, 9,575.82 and 2,000.70 is: 3,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.62 : 9,575.82 = 2,000.70 : x
  2. Step 2: Convert to fraction form
    6,382.62/9,575.82 = 2,000.70/x
  3. Step 3: Cross multiply
    6,382.62x = 9,575.82 × 2,000.70
  4. Step 4: Simplify right side
    6,382.62x = 19,158,343.07
  5. Step 5: Solve for x
    x = 19,158,343.07/6,382.62
  6. Step 6: Final answer
    x = 3,001.64

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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.