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Finding the Fourth Proportional to 6,078.96, 9,118.68 and 1,696.08

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Solution

The fourth proportional to 6,078.96, 9,118.68 and 1,696.08 is: 2,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.96 : 9,118.68 = 1,696.08 : x
  2. Step 2: Convert to fraction form
    6,078.96/9,118.68 = 1,696.08/x
  3. Step 3: Cross multiply
    6,078.96x = 9,118.68 × 1,696.08
  4. Step 4: Simplify right side
    6,078.96x = 15,466,010.77
  5. Step 5: Solve for x
    x = 15,466,010.77/6,078.96
  6. Step 6: Final answer
    x = 2,544.19

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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.