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Finding the Fourth Proportional to 9,568.86, 13,203 and 5,791.28

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Solution

The fourth proportional to 9,568.86, 13,203 and 5,791.28 is: 7,990.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.86 : 13,203 = 5,791.28 : x
  2. Step 2: Convert to fraction form
    9,568.86/13,203 = 5,791.28/x
  3. Step 3: Cross multiply
    9,568.86x = 13,203 × 5,791.28
  4. Step 4: Simplify right side
    9,568.86x = 76,462,269.84
  5. Step 5: Solve for x
    x = 76,462,269.84/9,568.86
  6. Step 6: Final answer
    x = 7,990.74

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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.