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Finding the Fourth Proportional to 6,130.89, 9,198.16 and 4,745.79

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Solution

The fourth proportional to 6,130.89, 9,198.16 and 4,745.79 is: 7,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.89 : 9,198.16 = 4,745.79 : x
  2. Step 2: Convert to fraction form
    6,130.89/9,198.16 = 4,745.79/x
  3. Step 3: Cross multiply
    6,130.89x = 9,198.16 × 4,745.79
  4. Step 4: Simplify right side
    6,130.89x = 43,652,523.88
  5. Step 5: Solve for x
    x = 43,652,523.88/6,130.89
  6. Step 6: Final answer
    x = 7,120.10

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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.