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Finding the Fourth Proportional to 27,856.47, 41,785.71 and 9,136.95

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Solution

The fourth proportional to 27,856.47, 41,785.71 and 9,136.95 is: 13,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,856.47 : 41,785.71 = 9,136.95 : x
  2. Step 2: Convert to fraction form
    27,856.47/41,785.71 = 9,136.95/x
  3. Step 3: Cross multiply
    27,856.47x = 41,785.71 × 9,136.95
  4. Step 4: Simplify right side
    27,856.47x = 381,793,897.30
  5. Step 5: Solve for x
    x = 381,793,897.30/27,856.47
  6. Step 6: Final answer
    x = 13,705.75

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