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Finding the Fourth Proportional to 9,694.54, 14,539.54 and 3,120.81

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Solution

The fourth proportional to 9,694.54, 14,539.54 and 3,120.81 is: 4,680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.54 : 14,539.54 = 3,120.81 : x
  2. Step 2: Convert to fraction form
    9,694.54/14,539.54 = 3,120.81/x
  3. Step 3: Cross multiply
    9,694.54x = 14,539.54 × 3,120.81
  4. Step 4: Simplify right side
    9,694.54x = 45,375,141.83
  5. Step 5: Solve for x
    x = 45,375,141.83/9,694.54
  6. Step 6: Final answer
    x = 4,680.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.