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Finding the Fourth Proportional to 6,940.23, 9,577.01 and 4,286.67

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Solution

The fourth proportional to 6,940.23, 9,577.01 and 4,286.67 is: 5,915.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.23 : 9,577.01 = 4,286.67 : x
  2. Step 2: Convert to fraction form
    6,940.23/9,577.01 = 4,286.67/x
  3. Step 3: Cross multiply
    6,940.23x = 9,577.01 × 4,286.67
  4. Step 4: Simplify right side
    6,940.23x = 41,053,498.07
  5. Step 5: Solve for x
    x = 41,053,498.07/6,940.23
  6. Step 6: Final answer
    x = 5,915.29

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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.