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Finding the Fourth Proportional to 6,129.57, 9,198.46 and 2,233.98

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Solution

The fourth proportional to 6,129.57, 9,198.46 and 2,233.98 is: 3,352.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129.57 : 9,198.46 = 2,233.98 : x
  2. Step 2: Convert to fraction form
    6,129.57/9,198.46 = 2,233.98/x
  3. Step 3: Cross multiply
    6,129.57x = 9,198.46 × 2,233.98
  4. Step 4: Simplify right side
    6,129.57x = 20,549,178.46
  5. Step 5: Solve for x
    x = 20,549,178.46/6,129.57
  6. Step 6: Final answer
    x = 3,352.46

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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.