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Finding the Fourth Proportional to 9,081.68, 13,622.56 and 3,238.32

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Solution

The fourth proportional to 9,081.68, 13,622.56 and 3,238.32 is: 4,857.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.68 : 13,622.56 = 3,238.32 : x
  2. Step 2: Convert to fraction form
    9,081.68/13,622.56 = 3,238.32/x
  3. Step 3: Cross multiply
    9,081.68x = 13,622.56 × 3,238.32
  4. Step 4: Simplify right side
    9,081.68x = 44,114,208.50
  5. Step 5: Solve for x
    x = 44,114,208.50/9,081.68
  6. Step 6: Final answer
    x = 4,857.49

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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.