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Finding the Fourth Proportional to 6,841.97, 9,442.07 and 4,190.84

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Solution

The fourth proportional to 6,841.97, 9,442.07 and 4,190.84 is: 5,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.97 : 9,442.07 = 4,190.84 : x
  2. Step 2: Convert to fraction form
    6,841.97/9,442.07 = 4,190.84/x
  3. Step 3: Cross multiply
    6,841.97x = 9,442.07 × 4,190.84
  4. Step 4: Simplify right side
    6,841.97x = 39,570,187.60
  5. Step 5: Solve for x
    x = 39,570,187.60/6,841.97
  6. Step 6: Final answer
    x = 5,783.45

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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.