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Finding the Fourth Proportional to 6,092.19, 9,138.15 and 1,709.54

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Solution

The fourth proportional to 6,092.19, 9,138.15 and 1,709.54 is: 2,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.19 : 9,138.15 = 1,709.54 : x
  2. Step 2: Convert to fraction form
    6,092.19/9,138.15 = 1,709.54/x
  3. Step 3: Cross multiply
    6,092.19x = 9,138.15 × 1,709.54
  4. Step 4: Simplify right side
    6,092.19x = 15,622,021.53
  5. Step 5: Solve for x
    x = 15,622,021.53/6,092.19
  6. Step 6: Final answer
    x = 2,564.27

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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.