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Finding the Fourth Proportional to 9,745.70, 14,622.60 and 3,173.90

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Solution

The fourth proportional to 9,745.70, 14,622.60 and 3,173.90 is: 4,762.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.70 : 14,622.60 = 3,173.90 : x
  2. Step 2: Convert to fraction form
    9,745.70/14,622.60 = 3,173.90/x
  3. Step 3: Cross multiply
    9,745.70x = 14,622.60 × 3,173.90
  4. Step 4: Simplify right side
    9,745.70x = 46,410,670.14
  5. Step 5: Solve for x
    x = 46,410,670.14/9,745.70
  6. Step 6: Final answer
    x = 4,762.17

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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.