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Finding the Fourth Proportional to 8,425.99, 12,638.10 and 6,096.97

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Solution

The fourth proportional to 8,425.99, 12,638.10 and 6,096.97 is: 9,144.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.99 : 12,638.10 = 6,096.97 : x
  2. Step 2: Convert to fraction form
    8,425.99/12,638.10 = 6,096.97/x
  3. Step 3: Cross multiply
    8,425.99x = 12,638.10 × 6,096.97
  4. Step 4: Simplify right side
    8,425.99x = 77,054,053.37
  5. Step 5: Solve for x
    x = 77,054,053.37/8,425.99
  6. Step 6: Final answer
    x = 9,144.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.