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Finding the Fourth Proportional to 6,914.25, 9,542.48 and 4,119.75

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Solution

The fourth proportional to 6,914.25, 9,542.48 and 4,119.75 is: 5,685.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.25 : 9,542.48 = 4,119.75 : x
  2. Step 2: Convert to fraction form
    6,914.25/9,542.48 = 4,119.75/x
  3. Step 3: Cross multiply
    6,914.25x = 9,542.48 × 4,119.75
  4. Step 4: Simplify right side
    6,914.25x = 39,312,611.38
  5. Step 5: Solve for x
    x = 39,312,611.38/6,914.25
  6. Step 6: Final answer
    x = 5,685.74

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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.