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Finding the Fourth Proportional to 6,385.30, 9,560.64 and 3,300.82

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Solution

The fourth proportional to 6,385.30, 9,560.64 and 3,300.82 is: 4,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.30 : 9,560.64 = 3,300.82 : x
  2. Step 2: Convert to fraction form
    6,385.30/9,560.64 = 3,300.82/x
  3. Step 3: Cross multiply
    6,385.30x = 9,560.64 × 3,300.82
  4. Step 4: Simplify right side
    6,385.30x = 31,557,951.72
  5. Step 5: Solve for x
    x = 31,557,951.72/6,385.30
  6. Step 6: Final answer
    x = 4,942.28

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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.