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Finding the Fourth Proportional to 6,725.87, 9,281.69 and 3,741.96

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Solution

The fourth proportional to 6,725.87, 9,281.69 and 3,741.96 is: 5,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,725.87 : 9,281.69 = 3,741.96 : x
  2. Step 2: Convert to fraction form
    6,725.87/9,281.69 = 3,741.96/x
  3. Step 3: Cross multiply
    6,725.87x = 9,281.69 × 3,741.96
  4. Step 4: Simplify right side
    6,725.87x = 34,731,742.84
  5. Step 5: Solve for x
    x = 34,731,742.84/6,725.87
  6. Step 6: Final answer
    x = 5,163.90

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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.