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Finding the Fourth Proportional to 9,311.10, 13,958.55 and 5,609.40

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Solution

The fourth proportional to 9,311.10, 13,958.55 and 5,609.40 is: 8,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.10 : 13,958.55 = 5,609.40 : x
  2. Step 2: Convert to fraction form
    9,311.10/13,958.55 = 5,609.40/x
  3. Step 3: Cross multiply
    9,311.10x = 13,958.55 × 5,609.40
  4. Step 4: Simplify right side
    9,311.10x = 78,299,090.37
  5. Step 5: Solve for x
    x = 78,299,090.37/9,311.10
  6. Step 6: Final answer
    x = 8,409.22

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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.