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Finding the Fourth Proportional to 6,933.44, 9,568.80 and 5,738.24

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Solution

The fourth proportional to 6,933.44, 9,568.80 and 5,738.24 is: 7,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.44 : 9,568.80 = 5,738.24 : x
  2. Step 2: Convert to fraction form
    6,933.44/9,568.80 = 5,738.24/x
  3. Step 3: Cross multiply
    6,933.44x = 9,568.80 × 5,738.24
  4. Step 4: Simplify right side
    6,933.44x = 54,908,070.91
  5. Step 5: Solve for x
    x = 54,908,070.91/6,933.44
  6. Step 6: Final answer
    x = 7,919.31

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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.