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Finding the Fourth Proportional to 9,568.22, 13,203.38 and 5,318.94

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Solution

The fourth proportional to 9,568.22, 13,203.38 and 5,318.94 is: 7,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.22 : 13,203.38 = 5,318.94 : x
  2. Step 2: Convert to fraction form
    9,568.22/13,203.38 = 5,318.94/x
  3. Step 3: Cross multiply
    9,568.22x = 13,203.38 × 5,318.94
  4. Step 4: Simplify right side
    9,568.22x = 70,227,959.42
  5. Step 5: Solve for x
    x = 70,227,959.42/9,568.22
  6. Step 6: Final answer
    x = 7,339.71

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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.