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Finding the Fourth Proportional to 27,760.32, 41,644.80 and 9,288

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Solution

The fourth proportional to 27,760.32, 41,644.80 and 9,288 is: 13,933.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.32 : 41,644.80 = 9,288 : x
  2. Step 2: Convert to fraction form
    27,760.32/41,644.80 = 9,288/x
  3. Step 3: Cross multiply
    27,760.32x = 41,644.80 × 9,288
  4. Step 4: Simplify right side
    27,760.32x = 386,796,902.40
  5. Step 5: Solve for x
    x = 386,796,902.40/27,760.32
  6. Step 6: Final answer
    x = 13,933.45

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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.