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Finding the Fourth Proportional to 9,981.84, 14,972.67 and 3,825.84

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Solution

The fourth proportional to 9,981.84, 14,972.67 and 3,825.84 is: 5,738.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.84 : 14,972.67 = 3,825.84 : x
  2. Step 2: Convert to fraction form
    9,981.84/14,972.67 = 3,825.84/x
  3. Step 3: Cross multiply
    9,981.84x = 14,972.67 × 3,825.84
  4. Step 4: Simplify right side
    9,981.84x = 57,283,039.79
  5. Step 5: Solve for x
    x = 57,283,039.79/9,981.84
  6. Step 6: Final answer
    x = 5,738.73

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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.