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Finding the Fourth Proportional to 9,857.32, 14,787.78 and 5,957.08

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Solution

The fourth proportional to 9,857.32, 14,787.78 and 5,957.08 is: 8,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.32 : 14,787.78 = 5,957.08 : x
  2. Step 2: Convert to fraction form
    9,857.32/14,787.78 = 5,957.08/x
  3. Step 3: Cross multiply
    9,857.32x = 14,787.78 × 5,957.08
  4. Step 4: Simplify right side
    9,857.32x = 88,091,988.48
  5. Step 5: Solve for x
    x = 88,091,988.48/9,857.32
  6. Step 6: Final answer
    x = 8,936.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.