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Finding the Fourth Proportional to 9,982.17, 13,770.95 and 5,787.99

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Solution

The fourth proportional to 9,982.17, 13,770.95 and 5,787.99 is: 7,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.17 : 13,770.95 = 5,787.99 : x
  2. Step 2: Convert to fraction form
    9,982.17/13,770.95 = 5,787.99/x
  3. Step 3: Cross multiply
    9,982.17x = 13,770.95 × 5,787.99
  4. Step 4: Simplify right side
    9,982.17x = 79,706,091.95
  5. Step 5: Solve for x
    x = 79,706,091.95/9,982.17
  6. Step 6: Final answer
    x = 7,984.85

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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.