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Finding the Fourth Proportional to 6,385.67, 9,578.49 and 2,003.46

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Solution

The fourth proportional to 6,385.67, 9,578.49 and 2,003.46 is: 3,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.67 : 9,578.49 = 2,003.46 : x
  2. Step 2: Convert to fraction form
    6,385.67/9,578.49 = 2,003.46/x
  3. Step 3: Cross multiply
    6,385.67x = 9,578.49 × 2,003.46
  4. Step 4: Simplify right side
    6,385.67x = 19,190,121.58
  5. Step 5: Solve for x
    x = 19,190,121.58/6,385.67
  6. Step 6: Final answer
    x = 3,005.19

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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.