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Finding the Fourth Proportional to 9,431.00, 14,147.21 and 3,188.94

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Solution

The fourth proportional to 9,431.00, 14,147.21 and 3,188.94 is: 4,783.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.00 : 14,147.21 = 3,188.94 : x
  2. Step 2: Convert to fraction form
    9,431.00/14,147.21 = 3,188.94/x
  3. Step 3: Cross multiply
    9,431.00x = 14,147.21 × 3,188.94
  4. Step 4: Simplify right side
    9,431.00x = 45,114,540.84
  5. Step 5: Solve for x
    x = 45,114,540.84/9,431.00
  6. Step 6: Final answer
    x = 4,783.64

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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.