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Finding the Fourth Proportional to 6,946.44, 9,585.84 and 3,963.24

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Solution

The fourth proportional to 6,946.44, 9,585.84 and 3,963.24 is: 5,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.44 : 9,585.84 = 3,963.24 : x
  2. Step 2: Convert to fraction form
    6,946.44/9,585.84 = 3,963.24/x
  3. Step 3: Cross multiply
    6,946.44x = 9,585.84 × 3,963.24
  4. Step 4: Simplify right side
    6,946.44x = 37,990,984.52
  5. Step 5: Solve for x
    x = 37,990,984.52/6,946.44
  6. Step 6: Final answer
    x = 5,469.13

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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.