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Finding the Fourth Proportional to 27,797.68, 41,686.02 and 9,073.28

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Solution

The fourth proportional to 27,797.68, 41,686.02 and 9,073.28 is: 13,606.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,797.68 : 41,686.02 = 9,073.28 : x
  2. Step 2: Convert to fraction form
    27,797.68/41,686.02 = 9,073.28/x
  3. Step 3: Cross multiply
    27,797.68x = 41,686.02 × 9,073.28
  4. Step 4: Simplify right side
    27,797.68x = 378,228,931.55
  5. Step 5: Solve for x
    x = 378,228,931.55/27,797.68
  6. Step 6: Final answer
    x = 13,606.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.