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Finding the Fourth Proportional to 6,317.16, 9,473.04 and 3,195.24

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Solution

The fourth proportional to 6,317.16, 9,473.04 and 3,195.24 is: 4,791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.16 : 9,473.04 = 3,195.24 : x
  2. Step 2: Convert to fraction form
    6,317.16/9,473.04 = 3,195.24/x
  3. Step 3: Cross multiply
    6,317.16x = 9,473.04 × 3,195.24
  4. Step 4: Simplify right side
    6,317.16x = 30,268,636.33
  5. Step 5: Solve for x
    x = 30,268,636.33/6,317.16
  6. Step 6: Final answer
    x = 4,791.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.