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Finding the Fourth Proportional to 6,706.23, 9,256.03 and 3,874.06

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Solution

The fourth proportional to 6,706.23, 9,256.03 and 3,874.06 is: 5,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.23 : 9,256.03 = 3,874.06 : x
  2. Step 2: Convert to fraction form
    6,706.23/9,256.03 = 3,874.06/x
  3. Step 3: Cross multiply
    6,706.23x = 9,256.03 × 3,874.06
  4. Step 4: Simplify right side
    6,706.23x = 35,858,415.58
  5. Step 5: Solve for x
    x = 35,858,415.58/6,706.23
  6. Step 6: Final answer
    x = 5,347.03

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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.