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Finding the Fourth Proportional to 6,090.34, 9,157.26 and 5,609.20

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Solution

The fourth proportional to 6,090.34, 9,157.26 and 5,609.20 is: 8,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.34 : 9,157.26 = 5,609.20 : x
  2. Step 2: Convert to fraction form
    6,090.34/9,157.26 = 5,609.20/x
  3. Step 3: Cross multiply
    6,090.34x = 9,157.26 × 5,609.20
  4. Step 4: Simplify right side
    6,090.34x = 51,364,902.79
  5. Step 5: Solve for x
    x = 51,364,902.79/6,090.34
  6. Step 6: Final answer
    x = 8,433.83

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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.