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Finding the Fourth Proportional to 9,767, 14,650.50 and 3,611

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Solution

The fourth proportional to 9,767, 14,650.50 and 3,611 is: 5,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 14,650.50 = 3,611 : x
  2. Step 2: Convert to fraction form
    9,767/14,650.50 = 3,611/x
  3. Step 3: Cross multiply
    9,767x = 14,650.50 × 3,611
  4. Step 4: Simplify right side
    9,767x = 52,902,955.50
  5. Step 5: Solve for x
    x = 52,902,955.50/9,767
  6. Step 6: Final answer
    x = 5,416.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.