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Finding the Fourth Proportional to 9,682.35, 14,513.25 and 6,161.28

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Solution

The fourth proportional to 9,682.35, 14,513.25 and 6,161.28 is: 9,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.35 : 14,513.25 = 6,161.28 : x
  2. Step 2: Convert to fraction form
    9,682.35/14,513.25 = 6,161.28/x
  3. Step 3: Cross multiply
    9,682.35x = 14,513.25 × 6,161.28
  4. Step 4: Simplify right side
    9,682.35x = 89,420,196.96
  5. Step 5: Solve for x
    x = 89,420,196.96/9,682.35
  6. Step 6: Final answer
    x = 9,235.38

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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.