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Finding the Fourth Proportional to 9,568.56, 13,204.56 and 5,376.81

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Solution

The fourth proportional to 9,568.56, 13,204.56 and 5,376.81 is: 7,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.56 : 13,204.56 = 5,376.81 : x
  2. Step 2: Convert to fraction form
    9,568.56/13,204.56 = 5,376.81/x
  3. Step 3: Cross multiply
    9,568.56x = 13,204.56 × 5,376.81
  4. Step 4: Simplify right side
    9,568.56x = 70,998,410.25
  5. Step 5: Solve for x
    x = 70,998,410.25/9,568.56
  6. Step 6: Final answer
    x = 7,419.97

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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.