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Finding the Fourth Proportional to 9,234.38, 13,848.49 and 2,992.89

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Solution

The fourth proportional to 9,234.38, 13,848.49 and 2,992.89 is: 4,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.38 : 13,848.49 = 2,992.89 : x
  2. Step 2: Convert to fraction form
    9,234.38/13,848.49 = 2,992.89/x
  3. Step 3: Cross multiply
    9,234.38x = 13,848.49 × 2,992.89
  4. Step 4: Simplify right side
    9,234.38x = 41,446,973.95
  5. Step 5: Solve for x
    x = 41,446,973.95/9,234.38
  6. Step 6: Final answer
    x = 4,488.33

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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.