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Finding the Fourth Proportional to 9,028.92, 13,543.14 and 4,094.96

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Solution

The fourth proportional to 9,028.92, 13,543.14 and 4,094.96 is: 6,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.92 : 13,543.14 = 4,094.96 : x
  2. Step 2: Convert to fraction form
    9,028.92/13,543.14 = 4,094.96/x
  3. Step 3: Cross multiply
    9,028.92x = 13,543.14 × 4,094.96
  4. Step 4: Simplify right side
    9,028.92x = 55,458,616.57
  5. Step 5: Solve for x
    x = 55,458,616.57/9,028.92
  6. Step 6: Final answer
    x = 6,142.33

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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.