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Finding the Fourth Proportional to 9,570.72, 13,198.38 and 6,212.28

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Solution

The fourth proportional to 9,570.72, 13,198.38 and 6,212.28 is: 8,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570.72 : 13,198.38 = 6,212.28 : x
  2. Step 2: Convert to fraction form
    9,570.72/13,198.38 = 6,212.28/x
  3. Step 3: Cross multiply
    9,570.72x = 13,198.38 × 6,212.28
  4. Step 4: Simplify right side
    9,570.72x = 81,992,032.11
  5. Step 5: Solve for x
    x = 81,992,032.11/9,570.72
  6. Step 6: Final answer
    x = 8,566.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.