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Finding the Fourth Proportional to 9,431.86, 14,142.37 and 3,889.03

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Solution

The fourth proportional to 9,431.86, 14,142.37 and 3,889.03 is: 5,831.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.86 : 14,142.37 = 3,889.03 : x
  2. Step 2: Convert to fraction form
    9,431.86/14,142.37 = 3,889.03/x
  3. Step 3: Cross multiply
    9,431.86x = 14,142.37 × 3,889.03
  4. Step 4: Simplify right side
    9,431.86x = 55,000,101.20
  5. Step 5: Solve for x
    x = 55,000,101.20/9,431.86
  6. Step 6: Final answer
    x = 5,831.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.