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Finding the Fourth Proportional to 9,443.60, 13,040.44 and 5,912.82

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Solution

The fourth proportional to 9,443.60, 13,040.44 and 5,912.82 is: 8,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.60 : 13,040.44 = 5,912.82 : x
  2. Step 2: Convert to fraction form
    9,443.60/13,040.44 = 5,912.82/x
  3. Step 3: Cross multiply
    9,443.60x = 13,040.44 × 5,912.82
  4. Step 4: Simplify right side
    9,443.60x = 77,105,774.44
  5. Step 5: Solve for x
    x = 77,105,774.44/9,443.60
  6. Step 6: Final answer
    x = 8,164.87

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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.