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Finding the Fourth Proportional to 8,424.30, 12,611.49 and 6,242.82

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Solution

The fourth proportional to 8,424.30, 12,611.49 and 6,242.82 is: 9,345.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.30 : 12,611.49 = 6,242.82 : x
  2. Step 2: Convert to fraction form
    8,424.30/12,611.49 = 6,242.82/x
  3. Step 3: Cross multiply
    8,424.30x = 12,611.49 × 6,242.82
  4. Step 4: Simplify right side
    8,424.30x = 78,731,262.00
  5. Step 5: Solve for x
    x = 78,731,262.00/8,424.30
  6. Step 6: Final answer
    x = 9,345.73

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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.