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Finding the Fourth Proportional to 9,614.43, 13,268.21 and 5,787.18

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Solution

The fourth proportional to 9,614.43, 13,268.21 and 5,787.18 is: 7,986.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.43 : 13,268.21 = 5,787.18 : x
  2. Step 2: Convert to fraction form
    9,614.43/13,268.21 = 5,787.18/x
  3. Step 3: Cross multiply
    9,614.43x = 13,268.21 × 5,787.18
  4. Step 4: Simplify right side
    9,614.43x = 76,785,490.61
  5. Step 5: Solve for x
    x = 76,785,490.61/9,614.43
  6. Step 6: Final answer
    x = 7,986.48

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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.