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Finding the Fourth Proportional to 6,940.03, 9,577 and 3,956.82

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Solution

The fourth proportional to 6,940.03, 9,577 and 3,956.82 is: 5,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.03 : 9,577 = 3,956.82 : x
  2. Step 2: Convert to fraction form
    6,940.03/9,577 = 3,956.82/x
  3. Step 3: Cross multiply
    6,940.03x = 9,577 × 3,956.82
  4. Step 4: Simplify right side
    6,940.03x = 37,894,465.14
  5. Step 5: Solve for x
    x = 37,894,465.14/6,940.03
  6. Step 6: Final answer
    x = 5,460.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.