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Finding the Fourth Proportional to 6,771.67, 9,344.06 and 3,787.02

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Solution

The fourth proportional to 6,771.67, 9,344.06 and 3,787.02 is: 5,225.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.67 : 9,344.06 = 3,787.02 : x
  2. Step 2: Convert to fraction form
    6,771.67/9,344.06 = 3,787.02/x
  3. Step 3: Cross multiply
    6,771.67x = 9,344.06 × 3,787.02
  4. Step 4: Simplify right side
    6,771.67x = 35,386,137.37
  5. Step 5: Solve for x
    x = 35,386,137.37/6,771.67
  6. Step 6: Final answer
    x = 5,225.62

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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.