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Finding the Fourth Proportional to 6,543.75, 9,029.71 and 3,710.55

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Solution

The fourth proportional to 6,543.75, 9,029.71 and 3,710.55 is: 5,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.75 : 9,029.71 = 3,710.55 : x
  2. Step 2: Convert to fraction form
    6,543.75/9,029.71 = 3,710.55/x
  3. Step 3: Cross multiply
    6,543.75x = 9,029.71 × 3,710.55
  4. Step 4: Simplify right side
    6,543.75x = 33,505,190.44
  5. Step 5: Solve for x
    x = 33,505,190.44/6,543.75
  6. Step 6: Final answer
    x = 5,120.18

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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.