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Finding the Fourth Proportional to 6,706.26, 9,257.97 and 4,189.77

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Solution

The fourth proportional to 6,706.26, 9,257.97 and 4,189.77 is: 5,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.26 : 9,257.97 = 4,189.77 : x
  2. Step 2: Convert to fraction form
    6,706.26/9,257.97 = 4,189.77/x
  3. Step 3: Cross multiply
    6,706.26x = 9,257.97 × 4,189.77
  4. Step 4: Simplify right side
    6,706.26x = 38,788,764.97
  5. Step 5: Solve for x
    x = 38,788,764.97/6,706.26
  6. Step 6: Final answer
    x = 5,783.96

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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.