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Finding the Fourth Proportional to 9,422.38, 13,002.96 and 5,443.39

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Solution

The fourth proportional to 9,422.38, 13,002.96 and 5,443.39 is: 7,511.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.38 : 13,002.96 = 5,443.39 : x
  2. Step 2: Convert to fraction form
    9,422.38/13,002.96 = 5,443.39/x
  3. Step 3: Cross multiply
    9,422.38x = 13,002.96 × 5,443.39
  4. Step 4: Simplify right side
    9,422.38x = 70,780,182.43
  5. Step 5: Solve for x
    x = 70,780,182.43/9,422.38
  6. Step 6: Final answer
    x = 7,511.92

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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.