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Finding the Fourth Proportional to 6,435.73, 9,657.33 and 3,474.17

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Solution

The fourth proportional to 6,435.73, 9,657.33 and 3,474.17 is: 5,213.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.73 : 9,657.33 = 3,474.17 : x
  2. Step 2: Convert to fraction form
    6,435.73/9,657.33 = 3,474.17/x
  3. Step 3: Cross multiply
    6,435.73x = 9,657.33 × 3,474.17
  4. Step 4: Simplify right side
    6,435.73x = 33,551,153.91
  5. Step 5: Solve for x
    x = 33,551,153.91/6,435.73
  6. Step 6: Final answer
    x = 5,213.26

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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.