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Finding the Fourth Proportional to 9,863, 14,787.20 and 5,966.54

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Solution

The fourth proportional to 9,863, 14,787.20 and 5,966.54 is: 8,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863 : 14,787.20 = 5,966.54 : x
  2. Step 2: Convert to fraction form
    9,863/14,787.20 = 5,966.54/x
  3. Step 3: Cross multiply
    9,863x = 14,787.20 × 5,966.54
  4. Step 4: Simplify right side
    9,863x = 88,228,420.29
  5. Step 5: Solve for x
    x = 88,228,420.29/9,863
  6. Step 6: Final answer
    x = 8,945.39

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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.