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Finding the Fourth Proportional to 6,924.63, 9,555.17 and 4,371.42

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Solution

The fourth proportional to 6,924.63, 9,555.17 and 4,371.42 is: 6,032.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.63 : 9,555.17 = 4,371.42 : x
  2. Step 2: Convert to fraction form
    6,924.63/9,555.17 = 4,371.42/x
  3. Step 3: Cross multiply
    6,924.63x = 9,555.17 × 4,371.42
  4. Step 4: Simplify right side
    6,924.63x = 41,769,639.38
  5. Step 5: Solve for x
    x = 41,769,639.38/6,924.63
  6. Step 6: Final answer
    x = 6,032.04

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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.