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Finding the Fourth Proportional to 7,026.28, 9,696 and 3,882.40

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Solution

The fourth proportional to 7,026.28, 9,696 and 3,882.40 is: 5,357.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.28 : 9,696 = 3,882.40 : x
  2. Step 2: Convert to fraction form
    7,026.28/9,696 = 3,882.40/x
  3. Step 3: Cross multiply
    7,026.28x = 9,696 × 3,882.40
  4. Step 4: Simplify right side
    7,026.28x = 37,643,750.40
  5. Step 5: Solve for x
    x = 37,643,750.40/7,026.28
  6. Step 6: Final answer
    x = 5,357.56

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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.