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Finding the Fourth Proportional to 9,568.44, 13,204.50 and 5,319.54

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Solution

The fourth proportional to 9,568.44, 13,204.50 and 5,319.54 is: 7,340.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.44 : 13,204.50 = 5,319.54 : x
  2. Step 2: Convert to fraction form
    9,568.44/13,204.50 = 5,319.54/x
  3. Step 3: Cross multiply
    9,568.44x = 13,204.50 × 5,319.54
  4. Step 4: Simplify right side
    9,568.44x = 70,241,865.93
  5. Step 5: Solve for x
    x = 70,241,865.93/9,568.44
  6. Step 6: Final answer
    x = 7,340.99

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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.