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Finding the Fourth Proportional to 27,934.68, 41,903.31 and 9,216.35

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Solution

The fourth proportional to 27,934.68, 41,903.31 and 9,216.35 is: 13,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,934.68 : 41,903.31 = 9,216.35 : x
  2. Step 2: Convert to fraction form
    27,934.68/41,903.31 = 9,216.35/x
  3. Step 3: Cross multiply
    27,934.68x = 41,903.31 × 9,216.35
  4. Step 4: Simplify right side
    27,934.68x = 386,195,698.92
  5. Step 5: Solve for x
    x = 386,195,698.92/27,934.68
  6. Step 6: Final answer
    x = 13,824.96

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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.