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Finding the Fourth Proportional to 6,097.93, 8,409.87 and 3,972.66

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Solution

The fourth proportional to 6,097.93, 8,409.87 and 3,972.66 is: 5,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.93 : 8,409.87 = 3,972.66 : x
  2. Step 2: Convert to fraction form
    6,097.93/8,409.87 = 3,972.66/x
  3. Step 3: Cross multiply
    6,097.93x = 8,409.87 × 3,972.66
  4. Step 4: Simplify right side
    6,097.93x = 33,409,522.62
  5. Step 5: Solve for x
    x = 33,409,522.62/6,097.93
  6. Step 6: Final answer
    x = 5,478.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.