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Finding the Fourth Proportional to 9,356.94, 12,914.64 and 8,411.04

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Solution

The fourth proportional to 9,356.94, 12,914.64 and 8,411.04 is: 11,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.94 : 12,914.64 = 8,411.04 : x
  2. Step 2: Convert to fraction form
    9,356.94/12,914.64 = 8,411.04/x
  3. Step 3: Cross multiply
    9,356.94x = 12,914.64 × 8,411.04
  4. Step 4: Simplify right side
    9,356.94x = 108,625,553.63
  5. Step 5: Solve for x
    x = 108,625,553.63/9,356.94
  6. Step 6: Final answer
    x = 11,609.09

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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.