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Finding the Fourth Proportional to 9,769.22, 14,650.76 and 3,528.41

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Solution

The fourth proportional to 9,769.22, 14,650.76 and 3,528.41 is: 5,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.22 : 14,650.76 = 3,528.41 : x
  2. Step 2: Convert to fraction form
    9,769.22/14,650.76 = 3,528.41/x
  3. Step 3: Cross multiply
    9,769.22x = 14,650.76 × 3,528.41
  4. Step 4: Simplify right side
    9,769.22x = 51,693,797.20
  5. Step 5: Solve for x
    x = 51,693,797.20/9,769.22
  6. Step 6: Final answer
    x = 5,291.50

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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.