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Finding the Fourth Proportional to 6,543.05, 9,029.21 and 3,710.68

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Solution

The fourth proportional to 6,543.05, 9,029.21 and 3,710.68 is: 5,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.05 : 9,029.21 = 3,710.68 : x
  2. Step 2: Convert to fraction form
    6,543.05/9,029.21 = 3,710.68/x
  3. Step 3: Cross multiply
    6,543.05x = 9,029.21 × 3,710.68
  4. Step 4: Simplify right side
    6,543.05x = 33,504,508.96
  5. Step 5: Solve for x
    x = 33,504,508.96/6,543.05
  6. Step 6: Final answer
    x = 5,120.63

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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.