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Finding the Fourth Proportional to 9,427.86, 13,003.74 and 5,889.78

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Solution

The fourth proportional to 9,427.86, 13,003.74 and 5,889.78 is: 8,123.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.86 : 13,003.74 = 5,889.78 : x
  2. Step 2: Convert to fraction form
    9,427.86/13,003.74 = 5,889.78/x
  3. Step 3: Cross multiply
    9,427.86x = 13,003.74 × 5,889.78
  4. Step 4: Simplify right side
    9,427.86x = 76,589,167.78
  5. Step 5: Solve for x
    x = 76,589,167.78/9,427.86
  6. Step 6: Final answer
    x = 8,123.71

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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.