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Finding the Fourth Proportional to 9,311.56, 13,958.70 and 4,114.60

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Solution

The fourth proportional to 9,311.56, 13,958.70 and 4,114.60 is: 6,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.56 : 13,958.70 = 4,114.60 : x
  2. Step 2: Convert to fraction form
    9,311.56/13,958.70 = 4,114.60/x
  3. Step 3: Cross multiply
    9,311.56x = 13,958.70 × 4,114.60
  4. Step 4: Simplify right side
    9,311.56x = 57,434,467.02
  5. Step 5: Solve for x
    x = 57,434,467.02/9,311.56
  6. Step 6: Final answer
    x = 6,168.08

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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.