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Finding the Fourth Proportional to 6,137.73, 9,211.26 and 4,498.56

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Solution

The fourth proportional to 6,137.73, 9,211.26 and 4,498.56 is: 6,751.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.73 : 9,211.26 = 4,498.56 : x
  2. Step 2: Convert to fraction form
    6,137.73/9,211.26 = 4,498.56/x
  3. Step 3: Cross multiply
    6,137.73x = 9,211.26 × 4,498.56
  4. Step 4: Simplify right side
    6,137.73x = 41,437,405.79
  5. Step 5: Solve for x
    x = 41,437,405.79/6,137.73
  6. Step 6: Final answer
    x = 6,751.26

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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.