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Finding the Fourth Proportional to 9,863.64, 14,791.86 and 3,288.36

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Solution

The fourth proportional to 9,863.64, 14,791.86 and 3,288.36 is: 4,931.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.64 : 14,791.86 = 3,288.36 : x
  2. Step 2: Convert to fraction form
    9,863.64/14,791.86 = 3,288.36/x
  3. Step 3: Cross multiply
    9,863.64x = 14,791.86 × 3,288.36
  4. Step 4: Simplify right side
    9,863.64x = 48,640,960.75
  5. Step 5: Solve for x
    x = 48,640,960.75/9,863.64
  6. Step 6: Final answer
    x = 4,931.34

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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.