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Finding the Fourth Proportional to 27,273.51, 40,897.17 and 9,739.17

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Solution

The fourth proportional to 27,273.51, 40,897.17 and 9,739.17 is: 14,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273.51 : 40,897.17 = 9,739.17 : x
  2. Step 2: Convert to fraction form
    27,273.51/40,897.17 = 9,739.17/x
  3. Step 3: Cross multiply
    27,273.51x = 40,897.17 × 9,739.17
  4. Step 4: Simplify right side
    27,273.51x = 398,304,491.15
  5. Step 5: Solve for x
    x = 398,304,491.15/27,273.51
  6. Step 6: Final answer
    x = 14,604.08

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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.