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Finding the Fourth Proportional to 9,817.81, 14,724.60 and 3,242.44

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Solution

The fourth proportional to 9,817.81, 14,724.60 and 3,242.44 is: 4,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.81 : 14,724.60 = 3,242.44 : x
  2. Step 2: Convert to fraction form
    9,817.81/14,724.60 = 3,242.44/x
  3. Step 3: Cross multiply
    9,817.81x = 14,724.60 × 3,242.44
  4. Step 4: Simplify right side
    9,817.81x = 47,743,632.02
  5. Step 5: Solve for x
    x = 47,743,632.02/9,817.81
  6. Step 6: Final answer
    x = 4,862.96

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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.