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Finding the Fourth Proportional to 9,129.78, 13,686.30 and 3,285.09

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Solution

The fourth proportional to 9,129.78, 13,686.30 and 3,285.09 is: 4,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.78 : 13,686.30 = 3,285.09 : x
  2. Step 2: Convert to fraction form
    9,129.78/13,686.30 = 3,285.09/x
  3. Step 3: Cross multiply
    9,129.78x = 13,686.30 × 3,285.09
  4. Step 4: Simplify right side
    9,129.78x = 44,960,727.27
  5. Step 5: Solve for x
    x = 44,960,727.27/9,129.78
  6. Step 6: Final answer
    x = 4,924.62

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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.