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Finding the Fourth Proportional to 9,642.33, 13,282.62 and 8,221.39

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Solution

The fourth proportional to 9,642.33, 13,282.62 and 8,221.39 is: 11,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.33 : 13,282.62 = 8,221.39 : x
  2. Step 2: Convert to fraction form
    9,642.33/13,282.62 = 8,221.39/x
  3. Step 3: Cross multiply
    9,642.33x = 13,282.62 × 8,221.39
  4. Step 4: Simplify right side
    9,642.33x = 109,201,535.21
  5. Step 5: Solve for x
    x = 109,201,535.21/9,642.33
  6. Step 6: Final answer
    x = 11,325.22

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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.