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Finding the Fourth Proportional to 6,543.57, 9,029.70 and 3,891.18

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Solution

The fourth proportional to 6,543.57, 9,029.70 and 3,891.18 is: 5,369.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.57 : 9,029.70 = 3,891.18 : x
  2. Step 2: Convert to fraction form
    6,543.57/9,029.70 = 3,891.18/x
  3. Step 3: Cross multiply
    6,543.57x = 9,029.70 × 3,891.18
  4. Step 4: Simplify right side
    6,543.57x = 35,136,188.05
  5. Step 5: Solve for x
    x = 35,136,188.05/6,543.57
  6. Step 6: Final answer
    x = 5,369.57

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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.