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Finding the Fourth Proportional to 9,982.88, 13,777 and 5,735.26

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Solution

The fourth proportional to 9,982.88, 13,777 and 5,735.26 is: 7,915.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.88 : 13,777 = 5,735.26 : x
  2. Step 2: Convert to fraction form
    9,982.88/13,777 = 5,735.26/x
  3. Step 3: Cross multiply
    9,982.88x = 13,777 × 5,735.26
  4. Step 4: Simplify right side
    9,982.88x = 79,014,677.02
  5. Step 5: Solve for x
    x = 79,014,677.02/9,982.88
  6. Step 6: Final answer
    x = 7,915.02

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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.