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Finding the Fourth Proportional to 6,383.02, 9,574.52 and 2,000.82

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Solution

The fourth proportional to 6,383.02, 9,574.52 and 2,000.82 is: 3,001.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,383.02 : 9,574.52 = 2,000.82 : x
  2. Step 2: Convert to fraction form
    6,383.02/9,574.52 = 2,000.82/x
  3. Step 3: Cross multiply
    6,383.02x = 9,574.52 × 2,000.82
  4. Step 4: Simplify right side
    6,383.02x = 19,156,891.11
  5. Step 5: Solve for x
    x = 19,156,891.11/6,383.02
  6. Step 6: Final answer
    x = 3,001.23

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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.