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Finding the Fourth Proportional to 9,997.14, 14,930.89 and 9,058.21

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Solution

The fourth proportional to 9,997.14, 14,930.89 and 9,058.21 is: 13,528.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997.14 : 14,930.89 = 9,058.21 : x
  2. Step 2: Convert to fraction form
    9,997.14/14,930.89 = 9,058.21/x
  3. Step 3: Cross multiply
    9,997.14x = 14,930.89 × 9,058.21
  4. Step 4: Simplify right side
    9,997.14x = 135,247,083.04
  5. Step 5: Solve for x
    x = 135,247,083.04/9,997.14
  6. Step 6: Final answer
    x = 13,528.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.