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Finding the Fourth Proportional to 6,093.84, 8,412.66 and 4,114.83

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Solution

The fourth proportional to 6,093.84, 8,412.66 and 4,114.83 is: 5,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.84 : 8,412.66 = 4,114.83 : x
  2. Step 2: Convert to fraction form
    6,093.84/8,412.66 = 4,114.83/x
  3. Step 3: Cross multiply
    6,093.84x = 8,412.66 × 4,114.83
  4. Step 4: Simplify right side
    6,093.84x = 34,616,665.75
  5. Step 5: Solve for x
    x = 34,616,665.75/6,093.84
  6. Step 6: Final answer
    x = 5,680.60

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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.