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Finding the Fourth Proportional to 8,495.84, 12,738.71 and 3,231.23

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Solution

The fourth proportional to 8,495.84, 12,738.71 and 3,231.23 is: 4,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.84 : 12,738.71 = 3,231.23 : x
  2. Step 2: Convert to fraction form
    8,495.84/12,738.71 = 3,231.23/x
  3. Step 3: Cross multiply
    8,495.84x = 12,738.71 × 3,231.23
  4. Step 4: Simplify right side
    8,495.84x = 41,161,622.06
  5. Step 5: Solve for x
    x = 41,161,622.06/8,495.84
  6. Step 6: Final answer
    x = 4,844.92

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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.