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Finding the Fourth Proportional to 27,957.87, 41,927.94 and 9,234.45

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Solution

The fourth proportional to 27,957.87, 41,927.94 and 9,234.45 is: 13,848.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.87 : 41,927.94 = 9,234.45 : x
  2. Step 2: Convert to fraction form
    27,957.87/41,927.94 = 9,234.45/x
  3. Step 3: Cross multiply
    27,957.87x = 41,927.94 × 9,234.45
  4. Step 4: Simplify right side
    27,957.87x = 387,181,465.53
  5. Step 5: Solve for x
    x = 387,181,465.53/27,957.87
  6. Step 6: Final answer
    x = 13,848.75

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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.