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Finding the Fourth Proportional to 9,645.39, 13,311.18 and 5,667.66

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Solution

The fourth proportional to 9,645.39, 13,311.18 and 5,667.66 is: 7,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.39 : 13,311.18 = 5,667.66 : x
  2. Step 2: Convert to fraction form
    9,645.39/13,311.18 = 5,667.66/x
  3. Step 3: Cross multiply
    9,645.39x = 13,311.18 × 5,667.66
  4. Step 4: Simplify right side
    9,645.39x = 75,443,242.44
  5. Step 5: Solve for x
    x = 75,443,242.44/9,645.39
  6. Step 6: Final answer
    x = 7,821.69

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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.