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Finding the Fourth Proportional to 6,788.98, 9,367.92 and 3,957.26

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Solution

The fourth proportional to 6,788.98, 9,367.92 and 3,957.26 is: 5,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.98 : 9,367.92 = 3,957.26 : x
  2. Step 2: Convert to fraction form
    6,788.98/9,367.92 = 3,957.26/x
  3. Step 3: Cross multiply
    6,788.98x = 9,367.92 × 3,957.26
  4. Step 4: Simplify right side
    6,788.98x = 37,071,295.10
  5. Step 5: Solve for x
    x = 37,071,295.10/6,788.98
  6. Step 6: Final answer
    x = 5,460.51

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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.