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Finding the Fourth Proportional to 9,727.75, 14,586.41 and 3,063

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Solution

The fourth proportional to 9,727.75, 14,586.41 and 3,063 is: 4,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.75 : 14,586.41 = 3,063 : x
  2. Step 2: Convert to fraction form
    9,727.75/14,586.41 = 3,063/x
  3. Step 3: Cross multiply
    9,727.75x = 14,586.41 × 3,063
  4. Step 4: Simplify right side
    9,727.75x = 44,678,173.83
  5. Step 5: Solve for x
    x = 44,678,173.83/9,727.75
  6. Step 6: Final answer
    x = 4,592.86

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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.