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Finding the Fourth Proportional to 6,097.96, 8,418.09 and 4,084.84

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Solution

The fourth proportional to 6,097.96, 8,418.09 and 4,084.84 is: 5,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.96 : 8,418.09 = 4,084.84 : x
  2. Step 2: Convert to fraction form
    6,097.96/8,418.09 = 4,084.84/x
  3. Step 3: Cross multiply
    6,097.96x = 8,418.09 × 4,084.84
  4. Step 4: Simplify right side
    6,097.96x = 34,386,550.76
  5. Step 5: Solve for x
    x = 34,386,550.76/6,097.96
  6. Step 6: Final answer
    x = 5,639.03

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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.