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Finding the Fourth Proportional to 9,759.72, 14,626.58 and 5,601

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Solution

The fourth proportional to 9,759.72, 14,626.58 and 5,601 is: 8,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.72 : 14,626.58 = 5,601 : x
  2. Step 2: Convert to fraction form
    9,759.72/14,626.58 = 5,601/x
  3. Step 3: Cross multiply
    9,759.72x = 14,626.58 × 5,601
  4. Step 4: Simplify right side
    9,759.72x = 81,923,474.58
  5. Step 5: Solve for x
    x = 81,923,474.58/9,759.72
  6. Step 6: Final answer
    x = 8,394.04

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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.