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Finding the Fourth Proportional to 6,097.93, 9,161.48 and 3,910.93

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Solution

The fourth proportional to 6,097.93, 9,161.48 and 3,910.93 is: 5,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.93 : 9,161.48 = 3,910.93 : x
  2. Step 2: Convert to fraction form
    6,097.93/9,161.48 = 3,910.93/x
  3. Step 3: Cross multiply
    6,097.93x = 9,161.48 × 3,910.93
  4. Step 4: Simplify right side
    6,097.93x = 35,829,906.98
  5. Step 5: Solve for x
    x = 35,829,906.98/6,097.93
  6. Step 6: Final answer
    x = 5,875.75

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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.