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Finding the Fourth Proportional to 9,231.86, 13,846.06 and 2,477.54

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Solution

The fourth proportional to 9,231.86, 13,846.06 and 2,477.54 is: 3,715.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.86 : 13,846.06 = 2,477.54 : x
  2. Step 2: Convert to fraction form
    9,231.86/13,846.06 = 2,477.54/x
  3. Step 3: Cross multiply
    9,231.86x = 13,846.06 × 2,477.54
  4. Step 4: Simplify right side
    9,231.86x = 34,304,167.49
  5. Step 5: Solve for x
    x = 34,304,167.49/9,231.86
  6. Step 6: Final answer
    x = 3,715.85

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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.