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Finding the Fourth Proportional to 8,309.25, 12,447.90 and 6,544.94

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Solution

The fourth proportional to 8,309.25, 12,447.90 and 6,544.94 is: 9,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.25 : 12,447.90 = 6,544.94 : x
  2. Step 2: Convert to fraction form
    8,309.25/12,447.90 = 6,544.94/x
  3. Step 3: Cross multiply
    8,309.25x = 12,447.90 × 6,544.94
  4. Step 4: Simplify right side
    8,309.25x = 81,470,696.39
  5. Step 5: Solve for x
    x = 81,470,696.39/8,309.25
  6. Step 6: Final answer
    x = 9,804.82

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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.