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Finding the Fourth Proportional to 6,946.16, 9,585.58 and 3,962.16

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Solution

The fourth proportional to 6,946.16, 9,585.58 and 3,962.16 is: 5,467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.16 : 9,585.58 = 3,962.16 : x
  2. Step 2: Convert to fraction form
    6,946.16/9,585.58 = 3,962.16/x
  3. Step 3: Cross multiply
    6,946.16x = 9,585.58 × 3,962.16
  4. Step 4: Simplify right side
    6,946.16x = 37,979,601.65
  5. Step 5: Solve for x
    x = 37,979,601.65/6,946.16
  6. Step 6: Final answer
    x = 5,467.71

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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.