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Finding the Fourth Proportional to 6,946.39, 9,585.68 and 3,962.12

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Solution

The fourth proportional to 6,946.39, 9,585.68 and 3,962.12 is: 5,467.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.39 : 9,585.68 = 3,962.12 : x
  2. Step 2: Convert to fraction form
    6,946.39/9,585.68 = 3,962.12/x
  3. Step 3: Cross multiply
    6,946.39x = 9,585.68 × 3,962.12
  4. Step 4: Simplify right side
    6,946.39x = 37,979,546.70
  5. Step 5: Solve for x
    x = 37,979,546.70/6,946.39
  6. Step 6: Final answer
    x = 5,467.52

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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.