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Finding the Fourth Proportional to 6,946.97, 9,585.14 and 3,961.71

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Solution

The fourth proportional to 6,946.97, 9,585.14 and 3,961.71 is: 5,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.97 : 9,585.14 = 3,961.71 : x
  2. Step 2: Convert to fraction form
    6,946.97/9,585.14 = 3,961.71/x
  3. Step 3: Cross multiply
    6,946.97x = 9,585.14 × 3,961.71
  4. Step 4: Simplify right side
    6,946.97x = 37,973,525.18
  5. Step 5: Solve for x
    x = 37,973,525.18/6,946.97
  6. Step 6: Final answer
    x = 5,466.20

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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.