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Finding the Fourth Proportional to 6,092.28, 9,138.60 and 1,709.64

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Solution

The fourth proportional to 6,092.28, 9,138.60 and 1,709.64 is: 2,564.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.28 : 9,138.60 = 1,709.64 : x
  2. Step 2: Convert to fraction form
    6,092.28/9,138.60 = 1,709.64/x
  3. Step 3: Cross multiply
    6,092.28x = 9,138.60 × 1,709.64
  4. Step 4: Simplify right side
    6,092.28x = 15,623,716.10
  5. Step 5: Solve for x
    x = 15,623,716.10/6,092.28
  6. Step 6: Final answer
    x = 2,564.51

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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.