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Finding the Fourth Proportional to 9,234.54, 13,827.18 and 4,842.78

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Solution

The fourth proportional to 9,234.54, 13,827.18 and 4,842.78 is: 7,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.54 : 13,827.18 = 4,842.78 : x
  2. Step 2: Convert to fraction form
    9,234.54/13,827.18 = 4,842.78/x
  3. Step 3: Cross multiply
    9,234.54x = 13,827.18 × 4,842.78
  4. Step 4: Simplify right side
    9,234.54x = 66,961,990.76
  5. Step 5: Solve for x
    x = 66,961,990.76/9,234.54
  6. Step 6: Final answer
    x = 7,251.25

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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.