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Finding the Fourth Proportional to 6,946.85, 9,584.26 and 3,960.53

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Solution

The fourth proportional to 6,946.85, 9,584.26 and 3,960.53 is: 5,464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.85 : 9,584.26 = 3,960.53 : x
  2. Step 2: Convert to fraction form
    6,946.85/9,584.26 = 3,960.53/x
  3. Step 3: Cross multiply
    6,946.85x = 9,584.26 × 3,960.53
  4. Step 4: Simplify right side
    6,946.85x = 37,958,749.26
  5. Step 5: Solve for x
    x = 37,958,749.26/6,946.85
  6. Step 6: Final answer
    x = 5,464.17

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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.