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Finding the Fourth Proportional to 9,745.34, 14,617.80 and 3,900.38

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Solution

The fourth proportional to 9,745.34, 14,617.80 and 3,900.38 is: 5,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.34 : 14,617.80 = 3,900.38 : x
  2. Step 2: Convert to fraction form
    9,745.34/14,617.80 = 3,900.38/x
  3. Step 3: Cross multiply
    9,745.34x = 14,617.80 × 3,900.38
  4. Step 4: Simplify right side
    9,745.34x = 57,014,901.68
  5. Step 5: Solve for x
    x = 57,014,901.68/9,745.34
  6. Step 6: Final answer
    x = 5,850.48

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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.