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Finding the Fourth Proportional to 6,382.68, 9,575.24 and 2,000.18

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Solution

The fourth proportional to 6,382.68, 9,575.24 and 2,000.18 is: 3,000.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.68 : 9,575.24 = 2,000.18 : x
  2. Step 2: Convert to fraction form
    6,382.68/9,575.24 = 2,000.18/x
  3. Step 3: Cross multiply
    6,382.68x = 9,575.24 × 2,000.18
  4. Step 4: Simplify right side
    6,382.68x = 19,152,145.67
  5. Step 5: Solve for x
    x = 19,152,145.67/6,382.68
  6. Step 6: Final answer
    x = 3,000.64

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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.