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Finding the Fourth Proportional to 9,832.34, 13,568.70 and 5,583.26

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Solution

The fourth proportional to 9,832.34, 13,568.70 and 5,583.26 is: 7,704.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,832.34 : 13,568.70 = 5,583.26 : x
  2. Step 2: Convert to fraction form
    9,832.34/13,568.70 = 5,583.26/x
  3. Step 3: Cross multiply
    9,832.34x = 13,568.70 × 5,583.26
  4. Step 4: Simplify right side
    9,832.34x = 75,757,579.96
  5. Step 5: Solve for x
    x = 75,757,579.96/9,832.34
  6. Step 6: Final answer
    x = 7,704.94

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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.