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Finding the Fourth Proportional to 9,278.43, 12,804.37 and 5,299.54

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Solution

The fourth proportional to 9,278.43, 12,804.37 and 5,299.54 is: 7,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.43 : 12,804.37 = 5,299.54 : x
  2. Step 2: Convert to fraction form
    9,278.43/12,804.37 = 5,299.54/x
  3. Step 3: Cross multiply
    9,278.43x = 12,804.37 × 5,299.54
  4. Step 4: Simplify right side
    9,278.43x = 67,857,270.99
  5. Step 5: Solve for x
    x = 67,857,270.99/9,278.43
  6. Step 6: Final answer
    x = 7,313.44

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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.