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Finding the Fourth Proportional to 9,823.68, 14,744.63 and 3,980.75

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Solution

The fourth proportional to 9,823.68, 14,744.63 and 3,980.75 is: 5,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.68 : 14,744.63 = 3,980.75 : x
  2. Step 2: Convert to fraction form
    9,823.68/14,744.63 = 3,980.75/x
  3. Step 3: Cross multiply
    9,823.68x = 14,744.63 × 3,980.75
  4. Step 4: Simplify right side
    9,823.68x = 58,694,622.10
  5. Step 5: Solve for x
    x = 58,694,622.10/9,823.68
  6. Step 6: Final answer
    x = 5,974.81

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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.