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Finding the Fourth Proportional to 9,706.50, 13,394.97 and 5,515.56

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Solution

The fourth proportional to 9,706.50, 13,394.97 and 5,515.56 is: 7,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.50 : 13,394.97 = 5,515.56 : x
  2. Step 2: Convert to fraction form
    9,706.50/13,394.97 = 5,515.56/x
  3. Step 3: Cross multiply
    9,706.50x = 13,394.97 × 5,515.56
  4. Step 4: Simplify right side
    9,706.50x = 73,880,760.73
  5. Step 5: Solve for x
    x = 73,880,760.73/9,706.50
  6. Step 6: Final answer
    x = 7,611.47

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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.