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Finding the Fourth Proportional to 9,724.56, 14,586.84 and 3,881.22

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Solution

The fourth proportional to 9,724.56, 14,586.84 and 3,881.22 is: 5,821.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.56 : 14,586.84 = 3,881.22 : x
  2. Step 2: Convert to fraction form
    9,724.56/14,586.84 = 3,881.22/x
  3. Step 3: Cross multiply
    9,724.56x = 14,586.84 × 3,881.22
  4. Step 4: Simplify right side
    9,724.56x = 56,614,735.14
  5. Step 5: Solve for x
    x = 56,614,735.14/9,724.56
  6. Step 6: Final answer
    x = 5,821.83

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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.