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Finding the Fourth Proportional to 9,138.56, 13,707.68 and 2,213.04

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Solution

The fourth proportional to 9,138.56, 13,707.68 and 2,213.04 is: 3,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.56 : 13,707.68 = 2,213.04 : x
  2. Step 2: Convert to fraction form
    9,138.56/13,707.68 = 2,213.04/x
  3. Step 3: Cross multiply
    9,138.56x = 13,707.68 × 2,213.04
  4. Step 4: Simplify right side
    9,138.56x = 30,335,644.15
  5. Step 5: Solve for x
    x = 30,335,644.15/9,138.56
  6. Step 6: Final answer
    x = 3,319.52

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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.