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Finding the Fourth Proportional to 9,683.75, 13,361.53 and 6,331.49

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Solution

The fourth proportional to 9,683.75, 13,361.53 and 6,331.49 is: 8,736.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.75 : 13,361.53 = 6,331.49 : x
  2. Step 2: Convert to fraction form
    9,683.75/13,361.53 = 6,331.49/x
  3. Step 3: Cross multiply
    9,683.75x = 13,361.53 × 6,331.49
  4. Step 4: Simplify right side
    9,683.75x = 84,598,393.58
  5. Step 5: Solve for x
    x = 84,598,393.58/9,683.75
  6. Step 6: Final answer
    x = 8,736.12

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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.