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Finding the Fourth Proportional to 6,905.62, 9,529.39 and 3,921.38

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Solution

The fourth proportional to 6,905.62, 9,529.39 and 3,921.38 is: 5,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.62 : 9,529.39 = 3,921.38 : x
  2. Step 2: Convert to fraction form
    6,905.62/9,529.39 = 3,921.38/x
  3. Step 3: Cross multiply
    6,905.62x = 9,529.39 × 3,921.38
  4. Step 4: Simplify right side
    6,905.62x = 37,368,359.36
  5. Step 5: Solve for x
    x = 37,368,359.36/6,905.62
  6. Step 6: Final answer
    x = 5,411.30

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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.