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Finding the Fourth Proportional to 9,841.68, 13,581.72 and 5,650.20

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Solution

The fourth proportional to 9,841.68, 13,581.72 and 5,650.20 is: 7,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.68 : 13,581.72 = 5,650.20 : x
  2. Step 2: Convert to fraction form
    9,841.68/13,581.72 = 5,650.20/x
  3. Step 3: Cross multiply
    9,841.68x = 13,581.72 × 5,650.20
  4. Step 4: Simplify right side
    9,841.68x = 76,739,434.34
  5. Step 5: Solve for x
    x = 76,739,434.34/9,841.68
  6. Step 6: Final answer
    x = 7,797.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.