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Finding the Fourth Proportional to 6,667.25, 9,200.81 and 3,872.93

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Solution

The fourth proportional to 6,667.25, 9,200.81 and 3,872.93 is: 5,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.25 : 9,200.81 = 3,872.93 : x
  2. Step 2: Convert to fraction form
    6,667.25/9,200.81 = 3,872.93/x
  3. Step 3: Cross multiply
    6,667.25x = 9,200.81 × 3,872.93
  4. Step 4: Simplify right side
    6,667.25x = 35,634,093.07
  5. Step 5: Solve for x
    x = 35,634,093.07/6,667.25
  6. Step 6: Final answer
    x = 5,344.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.