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Finding the Fourth Proportional to 6,191.09, 8,543.87 and 3,538.44

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Solution

The fourth proportional to 6,191.09, 8,543.87 and 3,538.44 is: 4,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.09 : 8,543.87 = 3,538.44 : x
  2. Step 2: Convert to fraction form
    6,191.09/8,543.87 = 3,538.44/x
  3. Step 3: Cross multiply
    6,191.09x = 8,543.87 × 3,538.44
  4. Step 4: Simplify right side
    6,191.09x = 30,231,971.36
  5. Step 5: Solve for x
    x = 30,231,971.36/6,191.09
  6. Step 6: Final answer
    x = 4,883.14

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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.