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Finding the Fourth Proportional to 6,305.73, 9,455.46 and 2,355.30

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Solution

The fourth proportional to 6,305.73, 9,455.46 and 2,355.30 is: 3,531.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.73 : 9,455.46 = 2,355.30 : x
  2. Step 2: Convert to fraction form
    6,305.73/9,455.46 = 2,355.30/x
  3. Step 3: Cross multiply
    6,305.73x = 9,455.46 × 2,355.30
  4. Step 4: Simplify right side
    6,305.73x = 22,270,444.94
  5. Step 5: Solve for x
    x = 22,270,444.94/6,305.73
  6. Step 6: Final answer
    x = 3,531.78

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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.