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Finding the Fourth Proportional to 6,805.60, 9,391.42 and 3,821.37

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Solution

The fourth proportional to 6,805.60, 9,391.42 and 3,821.37 is: 5,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.60 : 9,391.42 = 3,821.37 : x
  2. Step 2: Convert to fraction form
    6,805.60/9,391.42 = 3,821.37/x
  3. Step 3: Cross multiply
    6,805.60x = 9,391.42 × 3,821.37
  4. Step 4: Simplify right side
    6,805.60x = 35,888,090.65
  5. Step 5: Solve for x
    x = 35,888,090.65/6,805.60
  6. Step 6: Final answer
    x = 5,273.32

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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.