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Finding the Fourth Proportional to 9,872.64, 14,791.68 and 5,760

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Solution

The fourth proportional to 9,872.64, 14,791.68 and 5,760 is: 8,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.64 : 14,791.68 = 5,760 : x
  2. Step 2: Convert to fraction form
    9,872.64/14,791.68 = 5,760/x
  3. Step 3: Cross multiply
    9,872.64x = 14,791.68 × 5,760
  4. Step 4: Simplify right side
    9,872.64x = 85,200,076.80
  5. Step 5: Solve for x
    x = 85,200,076.80/9,872.64
  6. Step 6: Final answer
    x = 8,629.92

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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.