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Finding the Fourth Proportional to 27,761.32, 41,646.30 and 9,289

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Solution

The fourth proportional to 27,761.32, 41,646.30 and 9,289 is: 13,934.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,761.32 : 41,646.30 = 9,289 : x
  2. Step 2: Convert to fraction form
    27,761.32/41,646.30 = 9,289/x
  3. Step 3: Cross multiply
    27,761.32x = 41,646.30 × 9,289
  4. Step 4: Simplify right side
    27,761.32x = 386,852,480.70
  5. Step 5: Solve for x
    x = 386,852,480.70/27,761.32
  6. Step 6: Final answer
    x = 13,934.95

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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.