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Finding the Fourth Proportional to 9,228.37, 13,842.06 and 2,654.29

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Solution

The fourth proportional to 9,228.37, 13,842.06 and 2,654.29 is: 3,981.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.37 : 13,842.06 = 2,654.29 : x
  2. Step 2: Convert to fraction form
    9,228.37/13,842.06 = 2,654.29/x
  3. Step 3: Cross multiply
    9,228.37x = 13,842.06 × 2,654.29
  4. Step 4: Simplify right side
    9,228.37x = 36,740,841.44
  5. Step 5: Solve for x
    x = 36,740,841.44/9,228.37
  6. Step 6: Final answer
    x = 3,981.29

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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.