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Finding the Fourth Proportional to 9,138.60, 13,707.86 and 2,213.12

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Solution

The fourth proportional to 9,138.60, 13,707.86 and 2,213.12 is: 3,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.60 : 13,707.86 = 2,213.12 : x
  2. Step 2: Convert to fraction form
    9,138.60/13,707.86 = 2,213.12/x
  3. Step 3: Cross multiply
    9,138.60x = 13,707.86 × 2,213.12
  4. Step 4: Simplify right side
    9,138.60x = 30,337,139.12
  5. Step 5: Solve for x
    x = 30,337,139.12/9,138.60
  6. Step 6: Final answer
    x = 3,319.67

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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.