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Finding the Fourth Proportional to 9,401.56, 14,101.90 and 3,853.54

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Solution

The fourth proportional to 9,401.56, 14,101.90 and 3,853.54 is: 5,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.56 : 14,101.90 = 3,853.54 : x
  2. Step 2: Convert to fraction form
    9,401.56/14,101.90 = 3,853.54/x
  3. Step 3: Cross multiply
    9,401.56x = 14,101.90 × 3,853.54
  4. Step 4: Simplify right side
    9,401.56x = 54,342,235.73
  5. Step 5: Solve for x
    x = 54,342,235.73/9,401.56
  6. Step 6: Final answer
    x = 5,780.13

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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.