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Finding the Fourth Proportional to 9,425.41, 13,006.14 and 5,446.43

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Solution

The fourth proportional to 9,425.41, 13,006.14 and 5,446.43 is: 7,515.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.41 : 13,006.14 = 5,446.43 : x
  2. Step 2: Convert to fraction form
    9,425.41/13,006.14 = 5,446.43/x
  3. Step 3: Cross multiply
    9,425.41x = 13,006.14 × 5,446.43
  4. Step 4: Simplify right side
    9,425.41x = 70,837,063.60
  5. Step 5: Solve for x
    x = 70,837,063.60/9,425.41
  6. Step 6: Final answer
    x = 7,515.54

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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.