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Finding the Fourth Proportional to 9,356.97, 12,912.30 and 5,578.19

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Solution

The fourth proportional to 9,356.97, 12,912.30 and 5,578.19 is: 7,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.97 : 12,912.30 = 5,578.19 : x
  2. Step 2: Convert to fraction form
    9,356.97/12,912.30 = 5,578.19/x
  3. Step 3: Cross multiply
    9,356.97x = 12,912.30 × 5,578.19
  4. Step 4: Simplify right side
    9,356.97x = 72,027,262.74
  5. Step 5: Solve for x
    x = 72,027,262.74/9,356.97
  6. Step 6: Final answer
    x = 7,697.71

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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.