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Finding the Fourth Proportional to 9,677.97, 14,517.81 and 3,102.84

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Solution

The fourth proportional to 9,677.97, 14,517.81 and 3,102.84 is: 4,654.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.97 : 14,517.81 = 3,102.84 : x
  2. Step 2: Convert to fraction form
    9,677.97/14,517.81 = 3,102.84/x
  3. Step 3: Cross multiply
    9,677.97x = 14,517.81 × 3,102.84
  4. Step 4: Simplify right side
    9,677.97x = 45,046,441.58
  5. Step 5: Solve for x
    x = 45,046,441.58/9,677.97
  6. Step 6: Final answer
    x = 4,654.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.