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Finding the Fourth Proportional to 6,522.86, 9,759.89 and 3,880.73

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Solution

The fourth proportional to 6,522.86, 9,759.89 and 3,880.73 is: 5,806.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.86 : 9,759.89 = 3,880.73 : x
  2. Step 2: Convert to fraction form
    6,522.86/9,759.89 = 3,880.73/x
  3. Step 3: Cross multiply
    6,522.86x = 9,759.89 × 3,880.73
  4. Step 4: Simplify right side
    6,522.86x = 37,875,429.72
  5. Step 5: Solve for x
    x = 37,875,429.72/6,522.86
  6. Step 6: Final answer
    x = 5,806.57

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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.