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Finding the Fourth Proportional to 27,412.62, 41,114.42 and 9,639.10

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Solution

The fourth proportional to 27,412.62, 41,114.42 and 9,639.10 is: 14,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,412.62 : 41,114.42 = 9,639.10 : x
  2. Step 2: Convert to fraction form
    27,412.62/41,114.42 = 9,639.10/x
  3. Step 3: Cross multiply
    27,412.62x = 41,114.42 × 9,639.10
  4. Step 4: Simplify right side
    27,412.62x = 396,306,005.82
  5. Step 5: Solve for x
    x = 396,306,005.82/27,412.62
  6. Step 6: Final answer
    x = 14,457.06

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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.