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Finding the Fourth Proportional to 6,848.80, 9,451.26 and 3,823.97

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Solution

The fourth proportional to 6,848.80, 9,451.26 and 3,823.97 is: 5,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.80 : 9,451.26 = 3,823.97 : x
  2. Step 2: Convert to fraction form
    6,848.80/9,451.26 = 3,823.97/x
  3. Step 3: Cross multiply
    6,848.80x = 9,451.26 × 3,823.97
  4. Step 4: Simplify right side
    6,848.80x = 36,141,311.09
  5. Step 5: Solve for x
    x = 36,141,311.09/6,848.80
  6. Step 6: Final answer
    x = 5,277.03

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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.