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Finding the Fourth Proportional to 9,816.81, 13,555.37 and 9,104.51

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Solution

The fourth proportional to 9,816.81, 13,555.37 and 9,104.51 is: 12,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.81 : 13,555.37 = 9,104.51 : x
  2. Step 2: Convert to fraction form
    9,816.81/13,555.37 = 9,104.51/x
  3. Step 3: Cross multiply
    9,816.81x = 13,555.37 × 9,104.51
  4. Step 4: Simplify right side
    9,816.81x = 123,414,956.70
  5. Step 5: Solve for x
    x = 123,414,956.70/9,816.81
  6. Step 6: Final answer
    x = 12,571.80

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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.