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Finding the Fourth Proportional to 9,568.54, 13,204.24 and 5,319.55

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Solution

The fourth proportional to 9,568.54, 13,204.24 and 5,319.55 is: 7,340.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.54 : 13,204.24 = 5,319.55 : x
  2. Step 2: Convert to fraction form
    9,568.54/13,204.24 = 5,319.55/x
  3. Step 3: Cross multiply
    9,568.54x = 13,204.24 × 5,319.55
  4. Step 4: Simplify right side
    9,568.54x = 70,240,614.89
  5. Step 5: Solve for x
    x = 70,240,614.89/9,568.54
  6. Step 6: Final answer
    x = 7,340.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.