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Finding the Fourth Proportional to 9,157.50, 13,733.20 and 3,609.40

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Solution

The fourth proportional to 9,157.50, 13,733.20 and 3,609.40 is: 5,412.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.50 : 13,733.20 = 3,609.40 : x
  2. Step 2: Convert to fraction form
    9,157.50/13,733.20 = 3,609.40/x
  3. Step 3: Cross multiply
    9,157.50x = 13,733.20 × 3,609.40
  4. Step 4: Simplify right side
    9,157.50x = 49,568,612.08
  5. Step 5: Solve for x
    x = 49,568,612.08/9,157.50
  6. Step 6: Final answer
    x = 5,412.90

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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.