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Finding the Fourth Proportional to 9,680.36, 13,361.74 and 6,323.70

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Solution

The fourth proportional to 9,680.36, 13,361.74 and 6,323.70 is: 8,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.36 : 13,361.74 = 6,323.70 : x
  2. Step 2: Convert to fraction form
    9,680.36/13,361.74 = 6,323.70/x
  3. Step 3: Cross multiply
    9,680.36x = 13,361.74 × 6,323.70
  4. Step 4: Simplify right side
    9,680.36x = 84,495,635.24
  5. Step 5: Solve for x
    x = 84,495,635.24/9,680.36
  6. Step 6: Final answer
    x = 8,728.56

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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.