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Finding the Fourth Proportional to 6,198.12, 9,301.74 and 4,559.16

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Solution

The fourth proportional to 6,198.12, 9,301.74 and 4,559.16 is: 6,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.12 : 9,301.74 = 4,559.16 : x
  2. Step 2: Convert to fraction form
    6,198.12/9,301.74 = 4,559.16/x
  3. Step 3: Cross multiply
    6,198.12x = 9,301.74 × 4,559.16
  4. Step 4: Simplify right side
    6,198.12x = 42,408,120.94
  5. Step 5: Solve for x
    x = 42,408,120.94/6,198.12
  6. Step 6: Final answer
    x = 6,842.09

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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.