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Finding the Fourth Proportional to 6,725.31, 9,281.38 and 3,741.42

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Solution

The fourth proportional to 6,725.31, 9,281.38 and 3,741.42 is: 5,163.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.31 : 9,281.38 = 3,741.42 : x
  2. Step 2: Convert to fraction form
    6,725.31/9,281.38 = 3,741.42/x
  3. Step 3: Cross multiply
    6,725.31x = 9,281.38 × 3,741.42
  4. Step 4: Simplify right side
    6,725.31x = 34,725,494.35
  5. Step 5: Solve for x
    x = 34,725,494.35/6,725.31
  6. Step 6: Final answer
    x = 5,163.41

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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.