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Finding the Fourth Proportional to 9,522.98, 14,268.21 and 6,745.04

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Solution

The fourth proportional to 9,522.98, 14,268.21 and 6,745.04 is: 10,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.98 : 14,268.21 = 6,745.04 : x
  2. Step 2: Convert to fraction form
    9,522.98/14,268.21 = 6,745.04/x
  3. Step 3: Cross multiply
    9,522.98x = 14,268.21 × 6,745.04
  4. Step 4: Simplify right side
    9,522.98x = 96,239,647.18
  5. Step 5: Solve for x
    x = 96,239,647.18/9,522.98
  6. Step 6: Final answer
    x = 10,106.04

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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.