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Finding the Fourth Proportional to 6,174.74, 9,252.81 and 3,706.86

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Solution

The fourth proportional to 6,174.74, 9,252.81 and 3,706.86 is: 5,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.74 : 9,252.81 = 3,706.86 : x
  2. Step 2: Convert to fraction form
    6,174.74/9,252.81 = 3,706.86/x
  3. Step 3: Cross multiply
    6,174.74x = 9,252.81 × 3,706.86
  4. Step 4: Simplify right side
    6,174.74x = 34,298,871.28
  5. Step 5: Solve for x
    x = 34,298,871.28/6,174.74
  6. Step 6: Final answer
    x = 5,554.71

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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.