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Finding the Fourth Proportional to 10,194.26, 14,069.09 and 6,651.32

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Solution

The fourth proportional to 10,194.26, 14,069.09 and 6,651.32 is: 9,179.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.26 : 14,069.09 = 6,651.32 : x
  2. Step 2: Convert to fraction form
    10,194.26/14,069.09 = 6,651.32/x
  3. Step 3: Cross multiply
    10,194.26x = 14,069.09 × 6,651.32
  4. Step 4: Simplify right side
    10,194.26x = 93,577,965.98
  5. Step 5: Solve for x
    x = 93,577,965.98/10,194.26
  6. Step 6: Final answer
    x = 9,179.48

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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.