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Finding the Fourth Proportional to 9,382.73, 12,949.74 and 6,026.31

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Solution

The fourth proportional to 9,382.73, 12,949.74 and 6,026.31 is: 8,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.73 : 12,949.74 = 6,026.31 : x
  2. Step 2: Convert to fraction form
    9,382.73/12,949.74 = 6,026.31/x
  3. Step 3: Cross multiply
    9,382.73x = 12,949.74 × 6,026.31
  4. Step 4: Simplify right side
    9,382.73x = 78,039,147.66
  5. Step 5: Solve for x
    x = 78,039,147.66/9,382.73
  6. Step 6: Final answer
    x = 8,317.32

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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.