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Finding the Fourth Proportional to 6,945.72, 9,584.24 and 3,961.08

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Solution

The fourth proportional to 6,945.72, 9,584.24 and 3,961.08 is: 5,465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.72 : 9,584.24 = 3,961.08 : x
  2. Step 2: Convert to fraction form
    6,945.72/9,584.24 = 3,961.08/x
  3. Step 3: Cross multiply
    6,945.72x = 9,584.24 × 3,961.08
  4. Step 4: Simplify right side
    6,945.72x = 37,963,941.38
  5. Step 5: Solve for x
    x = 37,963,941.38/6,945.72
  6. Step 6: Final answer
    x = 5,465.80

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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.