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Finding the Fourth Proportional to 6,738.76, 9,297.94 and 4,085.62

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Solution

The fourth proportional to 6,738.76, 9,297.94 and 4,085.62 is: 5,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.76 : 9,297.94 = 4,085.62 : x
  2. Step 2: Convert to fraction form
    6,738.76/9,297.94 = 4,085.62/x
  3. Step 3: Cross multiply
    6,738.76x = 9,297.94 × 4,085.62
  4. Step 4: Simplify right side
    6,738.76x = 37,987,849.62
  5. Step 5: Solve for x
    x = 37,987,849.62/6,738.76
  6. Step 6: Final answer
    x = 5,637.22

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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.