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Finding the Fourth Proportional to 9,266.44, 12,787.62 and 5,729.68

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Solution

The fourth proportional to 9,266.44, 12,787.62 and 5,729.68 is: 7,906.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.44 : 12,787.62 = 5,729.68 : x
  2. Step 2: Convert to fraction form
    9,266.44/12,787.62 = 5,729.68/x
  3. Step 3: Cross multiply
    9,266.44x = 12,787.62 × 5,729.68
  4. Step 4: Simplify right side
    9,266.44x = 73,268,970.56
  5. Step 5: Solve for x
    x = 73,268,970.56/9,266.44
  6. Step 6: Final answer
    x = 7,906.92

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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.