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Finding the Fourth Proportional to 27,733.44, 41,597.28 and 9,264

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Solution

The fourth proportional to 27,733.44, 41,597.28 and 9,264 is: 13,895.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,733.44 : 41,597.28 = 9,264 : x
  2. Step 2: Convert to fraction form
    27,733.44/41,597.28 = 9,264/x
  3. Step 3: Cross multiply
    27,733.44x = 41,597.28 × 9,264
  4. Step 4: Simplify right side
    27,733.44x = 385,357,201.92
  5. Step 5: Solve for x
    x = 385,357,201.92/27,733.44
  6. Step 6: Final answer
    x = 13,895.04

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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.