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Finding the Fourth Proportional to 6,231.47, 8,636.54 and 6,114.83

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Solution

The fourth proportional to 6,231.47, 8,636.54 and 6,114.83 is: 8,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,231.47 : 8,636.54 = 6,114.83 : x
  2. Step 2: Convert to fraction form
    6,231.47/8,636.54 = 6,114.83/x
  3. Step 3: Cross multiply
    6,231.47x = 8,636.54 × 6,114.83
  4. Step 4: Simplify right side
    6,231.47x = 52,810,900.13
  5. Step 5: Solve for x
    x = 52,810,900.13/6,231.47
  6. Step 6: Final answer
    x = 8,474.88

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.