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Finding the Fourth Proportional to 27,774.48, 41,667.48 and 9,306

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Solution

The fourth proportional to 27,774.48, 41,667.48 and 9,306 is: 13,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774.48 : 41,667.48 = 9,306 : x
  2. Step 2: Convert to fraction form
    27,774.48/41,667.48 = 9,306/x
  3. Step 3: Cross multiply
    27,774.48x = 41,667.48 × 9,306
  4. Step 4: Simplify right side
    27,774.48x = 387,757,568.88
  5. Step 5: Solve for x
    x = 387,757,568.88/27,774.48
  6. Step 6: Final answer
    x = 13,960.93

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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.