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Finding the Fourth Proportional to 9,812.20, 14,724.39 and 3,968.86

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Solution

The fourth proportional to 9,812.20, 14,724.39 and 3,968.86 is: 5,955.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.20 : 14,724.39 = 3,968.86 : x
  2. Step 2: Convert to fraction form
    9,812.20/14,724.39 = 3,968.86/x
  3. Step 3: Cross multiply
    9,812.20x = 14,724.39 × 3,968.86
  4. Step 4: Simplify right side
    9,812.20x = 58,439,042.50
  5. Step 5: Solve for x
    x = 58,439,042.50/9,812.20
  6. Step 6: Final answer
    x = 5,955.75

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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.