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Finding the Fourth Proportional to 9,401.82, 14,103 and 2,827.32

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Solution

The fourth proportional to 9,401.82, 14,103 and 2,827.32 is: 4,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.82 : 14,103 = 2,827.32 : x
  2. Step 2: Convert to fraction form
    9,401.82/14,103 = 2,827.32/x
  3. Step 3: Cross multiply
    9,401.82x = 14,103 × 2,827.32
  4. Step 4: Simplify right side
    9,401.82x = 39,873,693.96
  5. Step 5: Solve for x
    x = 39,873,693.96/9,401.82
  6. Step 6: Final answer
    x = 4,241.06

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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.