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Finding the Fourth Proportional to 6,968.50, 9,617.75 and 3,984.46

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Solution

The fourth proportional to 6,968.50, 9,617.75 and 3,984.46 is: 5,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.50 : 9,617.75 = 3,984.46 : x
  2. Step 2: Convert to fraction form
    6,968.50/9,617.75 = 3,984.46/x
  3. Step 3: Cross multiply
    6,968.50x = 9,617.75 × 3,984.46
  4. Step 4: Simplify right side
    6,968.50x = 38,321,540.17
  5. Step 5: Solve for x
    x = 38,321,540.17/6,968.50
  6. Step 6: Final answer
    x = 5,499.25

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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.