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Finding the Fourth Proportional to 9,821.59, 14,724.11 and 3,982.30

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Solution

The fourth proportional to 9,821.59, 14,724.11 and 3,982.30 is: 5,970.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.59 : 14,724.11 = 3,982.30 : x
  2. Step 2: Convert to fraction form
    9,821.59/14,724.11 = 3,982.30/x
  3. Step 3: Cross multiply
    9,821.59x = 14,724.11 × 3,982.30
  4. Step 4: Simplify right side
    9,821.59x = 58,635,796.40
  5. Step 5: Solve for x
    x = 58,635,796.40/9,821.59
  6. Step 6: Final answer
    x = 5,970.09

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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.