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Finding the Fourth Proportional to 9,406.67, 12,976.61 and 7,914.04

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Solution

The fourth proportional to 9,406.67, 12,976.61 and 7,914.04 is: 10,917.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.67 : 12,976.61 = 7,914.04 : x
  2. Step 2: Convert to fraction form
    9,406.67/12,976.61 = 7,914.04/x
  3. Step 3: Cross multiply
    9,406.67x = 12,976.61 × 7,914.04
  4. Step 4: Simplify right side
    9,406.67x = 102,697,338.59
  5. Step 5: Solve for x
    x = 102,697,338.59/9,406.67
  6. Step 6: Final answer
    x = 10,917.51

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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.