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Finding the Fourth Proportional to 7,705.94, 10,634.22 and 4,169.17

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Solution

The fourth proportional to 7,705.94, 10,634.22 and 4,169.17 is: 5,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,705.94 : 10,634.22 = 4,169.17 : x
  2. Step 2: Convert to fraction form
    7,705.94/10,634.22 = 4,169.17/x
  3. Step 3: Cross multiply
    7,705.94x = 10,634.22 × 4,169.17
  4. Step 4: Simplify right side
    7,705.94x = 44,335,884.29
  5. Step 5: Solve for x
    x = 44,335,884.29/7,705.94
  6. Step 6: Final answer
    x = 5,753.47

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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.