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Finding the Fourth Proportional to 9,820.82, 14,738.92 and 3,981.54

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Solution

The fourth proportional to 9,820.82, 14,738.92 and 3,981.54 is: 5,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.82 : 14,738.92 = 3,981.54 : x
  2. Step 2: Convert to fraction form
    9,820.82/14,738.92 = 3,981.54/x
  3. Step 3: Cross multiply
    9,820.82x = 14,738.92 × 3,981.54
  4. Step 4: Simplify right side
    9,820.82x = 58,683,599.54
  5. Step 5: Solve for x
    x = 58,683,599.54/9,820.82
  6. Step 6: Final answer
    x = 5,975.43

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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.