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Finding the Fourth Proportional to 6,732.92, 9,292.32 and 4,080.32

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Solution

The fourth proportional to 6,732.92, 9,292.32 and 4,080.32 is: 5,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.92 : 9,292.32 = 4,080.32 : x
  2. Step 2: Convert to fraction form
    6,732.92/9,292.32 = 4,080.32/x
  3. Step 3: Cross multiply
    6,732.92x = 9,292.32 × 4,080.32
  4. Step 4: Simplify right side
    6,732.92x = 37,915,639.14
  5. Step 5: Solve for x
    x = 37,915,639.14/6,732.92
  6. Step 6: Final answer
    x = 5,631.38

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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.