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Finding the Fourth Proportional to 6,543.11, 9,029.73 and 3,749.15

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Solution

The fourth proportional to 6,543.11, 9,029.73 and 3,749.15 is: 5,173.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.11 : 9,029.73 = 3,749.15 : x
  2. Step 2: Convert to fraction form
    6,543.11/9,029.73 = 3,749.15/x
  3. Step 3: Cross multiply
    6,543.11x = 9,029.73 × 3,749.15
  4. Step 4: Simplify right side
    6,543.11x = 33,853,812.23
  5. Step 5: Solve for x
    x = 33,853,812.23/6,543.11
  6. Step 6: Final answer
    x = 5,173.96

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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.