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Finding the Fourth Proportional to 9,404.30, 12,968.97 and 5,626.86

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Solution

The fourth proportional to 9,404.30, 12,968.97 and 5,626.86 is: 7,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.30 : 12,968.97 = 5,626.86 : x
  2. Step 2: Convert to fraction form
    9,404.30/12,968.97 = 5,626.86/x
  3. Step 3: Cross multiply
    9,404.30x = 12,968.97 × 5,626.86
  4. Step 4: Simplify right side
    9,404.30x = 72,974,578.53
  5. Step 5: Solve for x
    x = 72,974,578.53/9,404.30
  6. Step 6: Final answer
    x = 7,759.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.