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Finding the Fourth Proportional to 9,811.43, 13,544.79 and 7,568.27

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Solution

The fourth proportional to 9,811.43, 13,544.79 and 7,568.27 is: 10,448.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.43 : 13,544.79 = 7,568.27 : x
  2. Step 2: Convert to fraction form
    9,811.43/13,544.79 = 7,568.27/x
  3. Step 3: Cross multiply
    9,811.43x = 13,544.79 × 7,568.27
  4. Step 4: Simplify right side
    9,811.43x = 102,510,627.81
  5. Step 5: Solve for x
    x = 102,510,627.81/9,811.43
  6. Step 6: Final answer
    x = 10,448.08

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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.