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Finding the Fourth Proportional to 6,982.32, 9,635.65 and 3,795.64

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Solution

The fourth proportional to 6,982.32, 9,635.65 and 3,795.64 is: 5,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.32 : 9,635.65 = 3,795.64 : x
  2. Step 2: Convert to fraction form
    6,982.32/9,635.65 = 3,795.64/x
  3. Step 3: Cross multiply
    6,982.32x = 9,635.65 × 3,795.64
  4. Step 4: Simplify right side
    6,982.32x = 36,573,473.85
  5. Step 5: Solve for x
    x = 36,573,473.85/6,982.32
  6. Step 6: Final answer
    x = 5,238.01

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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.