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Finding the Fourth Proportional to 9,351.40, 12,899.49 and 5,993.02

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Solution

The fourth proportional to 9,351.40, 12,899.49 and 5,993.02 is: 8,266.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.40 : 12,899.49 = 5,993.02 : x
  2. Step 2: Convert to fraction form
    9,351.40/12,899.49 = 5,993.02/x
  3. Step 3: Cross multiply
    9,351.40x = 12,899.49 × 5,993.02
  4. Step 4: Simplify right side
    9,351.40x = 77,306,901.56
  5. Step 5: Solve for x
    x = 77,306,901.56/9,351.40
  6. Step 6: Final answer
    x = 8,266.88

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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.