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Finding the Fourth Proportional to 6,787.89, 9,365.63 and 4,135.14

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Solution

The fourth proportional to 6,787.89, 9,365.63 and 4,135.14 is: 5,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.89 : 9,365.63 = 4,135.14 : x
  2. Step 2: Convert to fraction form
    6,787.89/9,365.63 = 4,135.14/x
  3. Step 3: Cross multiply
    6,787.89x = 9,365.63 × 4,135.14
  4. Step 4: Simplify right side
    6,787.89x = 38,728,170.56
  5. Step 5: Solve for x
    x = 38,728,170.56/6,787.89
  6. Step 6: Final answer
    x = 5,705.48

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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.