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Finding the Fourth Proportional to 9,322.81, 13,982.19 and 3,081.34

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Solution

The fourth proportional to 9,322.81, 13,982.19 and 3,081.34 is: 4,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.81 : 13,982.19 = 3,081.34 : x
  2. Step 2: Convert to fraction form
    9,322.81/13,982.19 = 3,081.34/x
  3. Step 3: Cross multiply
    9,322.81x = 13,982.19 × 3,081.34
  4. Step 4: Simplify right side
    9,322.81x = 43,083,887.26
  5. Step 5: Solve for x
    x = 43,083,887.26/9,322.81
  6. Step 6: Final answer
    x = 4,621.34

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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.