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Finding the Fourth Proportional to 6,123.36, 9,183.68 and 1,740

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Solution

The fourth proportional to 6,123.36, 9,183.68 and 1,740 is: 2,609.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.36 : 9,183.68 = 1,740 : x
  2. Step 2: Convert to fraction form
    6,123.36/9,183.68 = 1,740/x
  3. Step 3: Cross multiply
    6,123.36x = 9,183.68 × 1,740
  4. Step 4: Simplify right side
    6,123.36x = 15,979,603.20
  5. Step 5: Solve for x
    x = 15,979,603.20/6,123.36
  6. Step 6: Final answer
    x = 2,609.61

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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.