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Finding the Fourth Proportional to 6,733.38, 9,292.38 and 3,900.88

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Solution

The fourth proportional to 6,733.38, 9,292.38 and 3,900.88 is: 5,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.38 : 9,292.38 = 3,900.88 : x
  2. Step 2: Convert to fraction form
    6,733.38/9,292.38 = 3,900.88/x
  3. Step 3: Cross multiply
    6,733.38x = 9,292.38 × 3,900.88
  4. Step 4: Simplify right side
    6,733.38x = 36,248,459.29
  5. Step 5: Solve for x
    x = 36,248,459.29/6,733.38
  6. Step 6: Final answer
    x = 5,383.40

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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.