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Finding the Fourth Proportional to 9,126.86, 13,694.50 and 3,581.67

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Solution

The fourth proportional to 9,126.86, 13,694.50 and 3,581.67 is: 5,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,126.86 : 13,694.50 = 3,581.67 : x
  2. Step 2: Convert to fraction form
    9,126.86/13,694.50 = 3,581.67/x
  3. Step 3: Cross multiply
    9,126.86x = 13,694.50 × 3,581.67
  4. Step 4: Simplify right side
    9,126.86x = 49,049,179.82
  5. Step 5: Solve for x
    x = 49,049,179.82/9,126.86
  6. Step 6: Final answer
    x = 5,374.16

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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.