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Finding the Fourth Proportional to 9,745.10, 14,614.81 and 3,504.05

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Solution

The fourth proportional to 9,745.10, 14,614.81 and 3,504.05 is: 5,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.10 : 14,614.81 = 3,504.05 : x
  2. Step 2: Convert to fraction form
    9,745.10/14,614.81 = 3,504.05/x
  3. Step 3: Cross multiply
    9,745.10x = 14,614.81 × 3,504.05
  4. Step 4: Simplify right side
    9,745.10x = 51,211,024.98
  5. Step 5: Solve for x
    x = 51,211,024.98/9,745.10
  6. Step 6: Final answer
    x = 5,255.05

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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.