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Finding the Fourth Proportional to 6,507.38, 9,753.24 and 3,382.94

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Solution

The fourth proportional to 6,507.38, 9,753.24 and 3,382.94 is: 5,070.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.38 : 9,753.24 = 3,382.94 : x
  2. Step 2: Convert to fraction form
    6,507.38/9,753.24 = 3,382.94/x
  3. Step 3: Cross multiply
    6,507.38x = 9,753.24 × 3,382.94
  4. Step 4: Simplify right side
    6,507.38x = 32,994,625.73
  5. Step 5: Solve for x
    x = 32,994,625.73/6,507.38
  6. Step 6: Final answer
    x = 5,070.34

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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.