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Finding the Fourth Proportional to 7,103, 9,801.84 and 3,959.12

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Solution

The fourth proportional to 7,103, 9,801.84 and 3,959.12 is: 5,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103 : 9,801.84 = 3,959.12 : x
  2. Step 2: Convert to fraction form
    7,103/9,801.84 = 3,959.12/x
  3. Step 3: Cross multiply
    7,103x = 9,801.84 × 3,959.12
  4. Step 4: Simplify right side
    7,103x = 38,806,660.78
  5. Step 5: Solve for x
    x = 38,806,660.78/7,103
  6. Step 6: Final answer
    x = 5,463.42

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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.