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Finding the Fourth Proportional to 9,745.63, 14,618.32 and 2,350.03

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Solution

The fourth proportional to 9,745.63, 14,618.32 and 2,350.03 is: 3,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.63 : 14,618.32 = 2,350.03 : x
  2. Step 2: Convert to fraction form
    9,745.63/14,618.32 = 2,350.03/x
  3. Step 3: Cross multiply
    9,745.63x = 14,618.32 × 2,350.03
  4. Step 4: Simplify right side
    9,745.63x = 34,353,500.01
  5. Step 5: Solve for x
    x = 34,353,500.01/9,745.63
  6. Step 6: Final answer
    x = 3,525.02

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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.