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Finding the Fourth Proportional to 6,843.66, 9,443.38 and 4,012

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Solution

The fourth proportional to 6,843.66, 9,443.38 and 4,012 is: 5,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.66 : 9,443.38 = 4,012 : x
  2. Step 2: Convert to fraction form
    6,843.66/9,443.38 = 4,012/x
  3. Step 3: Cross multiply
    6,843.66x = 9,443.38 × 4,012
  4. Step 4: Simplify right side
    6,843.66x = 37,886,840.56
  5. Step 5: Solve for x
    x = 37,886,840.56/6,843.66
  6. Step 6: Final answer
    x = 5,536.05

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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.