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Finding the Fourth Proportional to 9,660.18, 14,489.49 and 3,816.84

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Solution

The fourth proportional to 9,660.18, 14,489.49 and 3,816.84 is: 5,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.18 : 14,489.49 = 3,816.84 : x
  2. Step 2: Convert to fraction form
    9,660.18/14,489.49 = 3,816.84/x
  3. Step 3: Cross multiply
    9,660.18x = 14,489.49 × 3,816.84
  4. Step 4: Simplify right side
    9,660.18x = 55,304,065.01
  5. Step 5: Solve for x
    x = 55,304,065.01/9,660.18
  6. Step 6: Final answer
    x = 5,724.95

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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.