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Finding the Fourth Proportional to 9,371.97, 14,058.09 and 2,798.82

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Solution

The fourth proportional to 9,371.97, 14,058.09 and 2,798.82 is: 4,198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.97 : 14,058.09 = 2,798.82 : x
  2. Step 2: Convert to fraction form
    9,371.97/14,058.09 = 2,798.82/x
  3. Step 3: Cross multiply
    9,371.97x = 14,058.09 × 2,798.82
  4. Step 4: Simplify right side
    9,371.97x = 39,346,063.45
  5. Step 5: Solve for x
    x = 39,346,063.45/9,371.97
  6. Step 6: Final answer
    x = 4,198.27

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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.