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Finding the Fourth Proportional to 9,489.75, 14,229.60 and 4,745.17

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Solution

The fourth proportional to 9,489.75, 14,229.60 and 4,745.17 is: 7,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.75 : 14,229.60 = 4,745.17 : x
  2. Step 2: Convert to fraction form
    9,489.75/14,229.60 = 4,745.17/x
  3. Step 3: Cross multiply
    9,489.75x = 14,229.60 × 4,745.17
  4. Step 4: Simplify right side
    9,489.75x = 67,521,871.03
  5. Step 5: Solve for x
    x = 67,521,871.03/9,489.75
  6. Step 6: Final answer
    x = 7,115.24

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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.