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Finding the Fourth Proportional to 7,083.14, 9,774.47 and 3,939.26

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Solution

The fourth proportional to 7,083.14, 9,774.47 and 3,939.26 is: 5,436.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.14 : 9,774.47 = 3,939.26 : x
  2. Step 2: Convert to fraction form
    7,083.14/9,774.47 = 3,939.26/x
  3. Step 3: Cross multiply
    7,083.14x = 9,774.47 × 3,939.26
  4. Step 4: Simplify right side
    7,083.14x = 38,504,110.12
  5. Step 5: Solve for x
    x = 38,504,110.12/7,083.14
  6. Step 6: Final answer
    x = 5,436.03

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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.