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Finding the Fourth Proportional to 9,138.34, 13,707.51 and 2,212.84

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Solution

The fourth proportional to 9,138.34, 13,707.51 and 2,212.84 is: 3,319.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.34 : 13,707.51 = 2,212.84 : x
  2. Step 2: Convert to fraction form
    9,138.34/13,707.51 = 2,212.84/x
  3. Step 3: Cross multiply
    9,138.34x = 13,707.51 × 2,212.84
  4. Step 4: Simplify right side
    9,138.34x = 30,332,526.43
  5. Step 5: Solve for x
    x = 30,332,526.43/9,138.34
  6. Step 6: Final answer
    x = 3,319.26

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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.