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Finding the Fourth Proportional to 6,756.42, 9,324.54 and 4,104.09

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Solution

The fourth proportional to 6,756.42, 9,324.54 and 4,104.09 is: 5,664.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.42 : 9,324.54 = 4,104.09 : x
  2. Step 2: Convert to fraction form
    6,756.42/9,324.54 = 4,104.09/x
  3. Step 3: Cross multiply
    6,756.42x = 9,324.54 × 4,104.09
  4. Step 4: Simplify right side
    6,756.42x = 38,268,751.37
  5. Step 5: Solve for x
    x = 38,268,751.37/6,756.42
  6. Step 6: Final answer
    x = 5,664.06

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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.