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Finding the Fourth Proportional to 6,193.21, 8,543.94 and 3,539.65

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Solution

The fourth proportional to 6,193.21, 8,543.94 and 3,539.65 is: 4,883.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.21 : 8,543.94 = 3,539.65 : x
  2. Step 2: Convert to fraction form
    6,193.21/8,543.94 = 3,539.65/x
  3. Step 3: Cross multiply
    6,193.21x = 8,543.94 × 3,539.65
  4. Step 4: Simplify right side
    6,193.21x = 30,242,557.22
  5. Step 5: Solve for x
    x = 30,242,557.22/6,193.21
  6. Step 6: Final answer
    x = 4,883.18

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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.