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Finding the Fourth Proportional to 6,097.94, 9,147.26 and 1,715.73

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Solution

The fourth proportional to 6,097.94, 9,147.26 and 1,715.73 is: 2,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.94 : 9,147.26 = 1,715.73 : x
  2. Step 2: Convert to fraction form
    6,097.94/9,147.26 = 1,715.73/x
  3. Step 3: Cross multiply
    6,097.94x = 9,147.26 × 1,715.73
  4. Step 4: Simplify right side
    6,097.94x = 15,694,219.82
  5. Step 5: Solve for x
    x = 15,694,219.82/6,097.94
  6. Step 6: Final answer
    x = 2,573.69

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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.