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Finding the Fourth Proportional to 6,529.77, 9,794.66 and 3,760.65

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Solution

The fourth proportional to 6,529.77, 9,794.66 and 3,760.65 is: 5,640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.77 : 9,794.66 = 3,760.65 : x
  2. Step 2: Convert to fraction form
    6,529.77/9,794.66 = 3,760.65/x
  3. Step 3: Cross multiply
    6,529.77x = 9,794.66 × 3,760.65
  4. Step 4: Simplify right side
    6,529.77x = 36,834,269.33
  5. Step 5: Solve for x
    x = 36,834,269.33/6,529.77
  6. Step 6: Final answer
    x = 5,640.98

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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.