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Finding the Fourth Proportional to 6,848.73, 9,449.02 and 3,823.35

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Solution

The fourth proportional to 6,848.73, 9,449.02 and 3,823.35 is: 5,274.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.73 : 9,449.02 = 3,823.35 : x
  2. Step 2: Convert to fraction form
    6,848.73/9,449.02 = 3,823.35/x
  3. Step 3: Cross multiply
    6,848.73x = 9,449.02 × 3,823.35
  4. Step 4: Simplify right side
    6,848.73x = 36,126,910.62
  5. Step 5: Solve for x
    x = 36,126,910.62/6,848.73
  6. Step 6: Final answer
    x = 5,274.98

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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.