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Finding the Fourth Proportional to 9,373.82, 14,067.68 and 4,443.47

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Solution

The fourth proportional to 9,373.82, 14,067.68 and 4,443.47 is: 6,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,373.82 : 14,067.68 = 4,443.47 : x
  2. Step 2: Convert to fraction form
    9,373.82/14,067.68 = 4,443.47/x
  3. Step 3: Cross multiply
    9,373.82x = 14,067.68 × 4,443.47
  4. Step 4: Simplify right side
    9,373.82x = 62,509,221.49
  5. Step 5: Solve for x
    x = 62,509,221.49/9,373.82
  6. Step 6: Final answer
    x = 6,668.49

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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.