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Finding the Fourth Proportional to 9,982.34, 14,973.42 and 3,826.34

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Solution

The fourth proportional to 9,982.34, 14,973.42 and 3,826.34 is: 5,739.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.34 : 14,973.42 = 3,826.34 : x
  2. Step 2: Convert to fraction form
    9,982.34/14,973.42 = 3,826.34/x
  3. Step 3: Cross multiply
    9,982.34x = 14,973.42 × 3,826.34
  4. Step 4: Simplify right side
    9,982.34x = 57,293,395.88
  5. Step 5: Solve for x
    x = 57,293,395.88/9,982.34
  6. Step 6: Final answer
    x = 5,739.48

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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.