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Finding the Fourth Proportional to 9,612.09, 14,408.42 and 3,760.65

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Solution

The fourth proportional to 9,612.09, 14,408.42 and 3,760.65 is: 5,637.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.09 : 14,408.42 = 3,760.65 : x
  2. Step 2: Convert to fraction form
    9,612.09/14,408.42 = 3,760.65/x
  3. Step 3: Cross multiply
    9,612.09x = 14,408.42 × 3,760.65
  4. Step 4: Simplify right side
    9,612.09x = 54,185,005.87
  5. Step 5: Solve for x
    x = 54,185,005.87/9,612.09
  6. Step 6: Final answer
    x = 5,637.17

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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.