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Finding the Fourth Proportional to 9,745.73, 14,618.46 and 2,350.13

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Solution

The fourth proportional to 9,745.73, 14,618.46 and 2,350.13 is: 3,525.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.73 : 14,618.46 = 2,350.13 : x
  2. Step 2: Convert to fraction form
    9,745.73/14,618.46 = 2,350.13/x
  3. Step 3: Cross multiply
    9,745.73x = 14,618.46 × 2,350.13
  4. Step 4: Simplify right side
    9,745.73x = 34,355,196.56
  5. Step 5: Solve for x
    x = 34,355,196.56/9,745.73
  6. Step 6: Final answer
    x = 3,525.16

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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.