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Finding the Fourth Proportional to 9,592.80, 13,234.31 and 6,006.28

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Solution

The fourth proportional to 9,592.80, 13,234.31 and 6,006.28 is: 8,286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.80 : 13,234.31 = 6,006.28 : x
  2. Step 2: Convert to fraction form
    9,592.80/13,234.31 = 6,006.28/x
  3. Step 3: Cross multiply
    9,592.80x = 13,234.31 × 6,006.28
  4. Step 4: Simplify right side
    9,592.80x = 79,488,935.36
  5. Step 5: Solve for x
    x = 79,488,935.36/9,592.80
  6. Step 6: Final answer
    x = 8,286.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.