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Finding the Fourth Proportional to 9,473.20, 13,072.79 and 5,938.36

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Solution

The fourth proportional to 9,473.20, 13,072.79 and 5,938.36 is: 8,194.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.20 : 13,072.79 = 5,938.36 : x
  2. Step 2: Convert to fraction form
    9,473.20/13,072.79 = 5,938.36/x
  3. Step 3: Cross multiply
    9,473.20x = 13,072.79 × 5,938.36
  4. Step 4: Simplify right side
    9,473.20x = 77,630,915.39
  5. Step 5: Solve for x
    x = 77,630,915.39/9,473.20
  6. Step 6: Final answer
    x = 8,194.80

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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.