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Finding the Fourth Proportional to 9,361.10, 12,920.49 and 6,174.97

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Solution

The fourth proportional to 9,361.10, 12,920.49 and 6,174.97 is: 8,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.10 : 12,920.49 = 6,174.97 : x
  2. Step 2: Convert to fraction form
    9,361.10/12,920.49 = 6,174.97/x
  3. Step 3: Cross multiply
    9,361.10x = 12,920.49 × 6,174.97
  4. Step 4: Simplify right side
    9,361.10x = 79,783,638.14
  5. Step 5: Solve for x
    x = 79,783,638.14/9,361.10
  6. Step 6: Final answer
    x = 8,522.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.