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Finding the Fourth Proportional to 9,377.14, 14,063.25 and 2,801.77

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Solution

The fourth proportional to 9,377.14, 14,063.25 and 2,801.77 is: 4,201.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.14 : 14,063.25 = 2,801.77 : x
  2. Step 2: Convert to fraction form
    9,377.14/14,063.25 = 2,801.77/x
  3. Step 3: Cross multiply
    9,377.14x = 14,063.25 × 2,801.77
  4. Step 4: Simplify right side
    9,377.14x = 39,401,991.95
  5. Step 5: Solve for x
    x = 39,401,991.95/9,377.14
  6. Step 6: Final answer
    x = 4,201.92

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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.