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Finding the Fourth Proportional to 6,792.26, 9,374.37 and 3,809.30

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Solution

The fourth proportional to 6,792.26, 9,374.37 and 3,809.30 is: 5,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,792.26 : 9,374.37 = 3,809.30 : x
  2. Step 2: Convert to fraction form
    6,792.26/9,374.37 = 3,809.30/x
  3. Step 3: Cross multiply
    6,792.26x = 9,374.37 × 3,809.30
  4. Step 4: Simplify right side
    6,792.26x = 35,709,787.64
  5. Step 5: Solve for x
    x = 35,709,787.64/6,792.26
  6. Step 6: Final answer
    x = 5,257.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.