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Finding the Fourth Proportional to 9,568.82, 14,337 and 5,863.32

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Solution

The fourth proportional to 9,568.82, 14,337 and 5,863.32 is: 8,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.82 : 14,337 = 5,863.32 : x
  2. Step 2: Convert to fraction form
    9,568.82/14,337 = 5,863.32/x
  3. Step 3: Cross multiply
    9,568.82x = 14,337 × 5,863.32
  4. Step 4: Simplify right side
    9,568.82x = 84,062,418.84
  5. Step 5: Solve for x
    x = 84,062,418.84/9,568.82
  6. Step 6: Final answer
    x = 8,785.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.