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Finding the Fourth Proportional to 6,078.84, 9,118.26 and 1,696.29

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Solution

The fourth proportional to 6,078.84, 9,118.26 and 1,696.29 is: 2,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.84 : 9,118.26 = 1,696.29 : x
  2. Step 2: Convert to fraction form
    6,078.84/9,118.26 = 1,696.29/x
  3. Step 3: Cross multiply
    6,078.84x = 9,118.26 × 1,696.29
  4. Step 4: Simplify right side
    6,078.84x = 15,467,213.26
  5. Step 5: Solve for x
    x = 15,467,213.26/6,078.84
  6. Step 6: Final answer
    x = 2,544.44

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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.