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Finding the Fourth Proportional to 6,944.67, 9,583.88 and 3,960.50

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Solution

The fourth proportional to 6,944.67, 9,583.88 and 3,960.50 is: 5,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.67 : 9,583.88 = 3,960.50 : x
  2. Step 2: Convert to fraction form
    6,944.67/9,583.88 = 3,960.50/x
  3. Step 3: Cross multiply
    6,944.67x = 9,583.88 × 3,960.50
  4. Step 4: Simplify right side
    6,944.67x = 37,956,889.02
  5. Step 5: Solve for x
    x = 37,956,889.02/6,944.67
  6. Step 6: Final answer
    x = 5,465.61

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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.