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Finding the Fourth Proportional to 9,335.57, 13,998.94 and 3,408.34

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Solution

The fourth proportional to 9,335.57, 13,998.94 and 3,408.34 is: 5,110.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.57 : 13,998.94 = 3,408.34 : x
  2. Step 2: Convert to fraction form
    9,335.57/13,998.94 = 3,408.34/x
  3. Step 3: Cross multiply
    9,335.57x = 13,998.94 × 3,408.34
  4. Step 4: Simplify right side
    9,335.57x = 47,713,103.64
  5. Step 5: Solve for x
    x = 47,713,103.64/9,335.57
  6. Step 6: Final answer
    x = 5,110.89

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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.