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Finding the Fourth Proportional to 6,809.52, 9,397.68 and 3,826

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Solution

The fourth proportional to 6,809.52, 9,397.68 and 3,826 is: 5,280.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.52 : 9,397.68 = 3,826 : x
  2. Step 2: Convert to fraction form
    6,809.52/9,397.68 = 3,826/x
  3. Step 3: Cross multiply
    6,809.52x = 9,397.68 × 3,826
  4. Step 4: Simplify right side
    6,809.52x = 35,955,523.68
  5. Step 5: Solve for x
    x = 35,955,523.68/6,809.52
  6. Step 6: Final answer
    x = 5,280.18

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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.