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Finding the Fourth Proportional to 9,141.09, 13,708.79 and 3,296.94

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Solution

The fourth proportional to 9,141.09, 13,708.79 and 3,296.94 is: 4,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.09 : 13,708.79 = 3,296.94 : x
  2. Step 2: Convert to fraction form
    9,141.09/13,708.79 = 3,296.94/x
  3. Step 3: Cross multiply
    9,141.09x = 13,708.79 × 3,296.94
  4. Step 4: Simplify right side
    9,141.09x = 45,197,066.34
  5. Step 5: Solve for x
    x = 45,197,066.34/9,141.09
  6. Step 6: Final answer
    x = 4,944.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.