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Finding the Fourth Proportional to 27,832, 41,748 and 9,364

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Solution

The fourth proportional to 27,832, 41,748 and 9,364 is: 14,046

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832 : 41,748 = 9,364 : x
  2. Step 2: Convert to fraction form
    27,832/41,748 = 9,364/x
  3. Step 3: Cross multiply
    27,832x = 41,748 × 9,364
  4. Step 4: Simplify right side
    27,832x = 390,928,272
  5. Step 5: Solve for x
    x = 390,928,272/27,832
  6. Step 6: Final answer
    x = 14,046

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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.