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Finding the Fourth Proportional to 6,477.57, 9,708.66 and 3,706.16

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Solution

The fourth proportional to 6,477.57, 9,708.66 and 3,706.16 is: 5,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.57 : 9,708.66 = 3,706.16 : x
  2. Step 2: Convert to fraction form
    6,477.57/9,708.66 = 3,706.16/x
  3. Step 3: Cross multiply
    6,477.57x = 9,708.66 × 3,706.16
  4. Step 4: Simplify right side
    6,477.57x = 35,981,798.80
  5. Step 5: Solve for x
    x = 35,981,798.80/6,477.57
  6. Step 6: Final answer
    x = 5,554.83

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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.