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Finding the Fourth Proportional to 6,192.74, 8,543.40 and 4,200.14

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Solution

The fourth proportional to 6,192.74, 8,543.40 and 4,200.14 is: 5,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.74 : 8,543.40 = 4,200.14 : x
  2. Step 2: Convert to fraction form
    6,192.74/8,543.40 = 4,200.14/x
  3. Step 3: Cross multiply
    6,192.74x = 8,543.40 × 4,200.14
  4. Step 4: Simplify right side
    6,192.74x = 35,883,476.08
  5. Step 5: Solve for x
    x = 35,883,476.08/6,192.74
  6. Step 6: Final answer
    x = 5,794.44

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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.