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Finding the Fourth Proportional to 9,568.92, 13,204.47 and 5,319.65

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Solution

The fourth proportional to 9,568.92, 13,204.47 and 5,319.65 is: 7,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.92 : 13,204.47 = 5,319.65 : x
  2. Step 2: Convert to fraction form
    9,568.92/13,204.47 = 5,319.65/x
  3. Step 3: Cross multiply
    9,568.92x = 13,204.47 × 5,319.65
  4. Step 4: Simplify right side
    9,568.92x = 70,243,144.73
  5. Step 5: Solve for x
    x = 70,243,144.73/9,568.92
  6. Step 6: Final answer
    x = 7,340.76

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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.