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Finding the Fourth Proportional to 9,401.44, 14,103.76 and 3,244

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Solution

The fourth proportional to 9,401.44, 14,103.76 and 3,244 is: 4,866.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.44 : 14,103.76 = 3,244 : x
  2. Step 2: Convert to fraction form
    9,401.44/14,103.76 = 3,244/x
  3. Step 3: Cross multiply
    9,401.44x = 14,103.76 × 3,244
  4. Step 4: Simplify right side
    9,401.44x = 45,752,597.44
  5. Step 5: Solve for x
    x = 45,752,597.44/9,401.44
  6. Step 6: Final answer
    x = 4,866.55

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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.