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Finding the Fourth Proportional to 6,940.86, 9,577.27 and 3,956.70

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Solution

The fourth proportional to 6,940.86, 9,577.27 and 3,956.70 is: 5,459.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.86 : 9,577.27 = 3,956.70 : x
  2. Step 2: Convert to fraction form
    6,940.86/9,577.27 = 3,956.70/x
  3. Step 3: Cross multiply
    6,940.86x = 9,577.27 × 3,956.70
  4. Step 4: Simplify right side
    6,940.86x = 37,894,384.21
  5. Step 5: Solve for x
    x = 37,894,384.21/6,940.86
  6. Step 6: Final answer
    x = 5,459.61

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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.