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Finding the Fourth Proportional to 9,652.11, 14,476.73 and 3,812.73

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Solution

The fourth proportional to 9,652.11, 14,476.73 and 3,812.73 is: 5,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.11 : 14,476.73 = 3,812.73 : x
  2. Step 2: Convert to fraction form
    9,652.11/14,476.73 = 3,812.73/x
  3. Step 3: Cross multiply
    9,652.11x = 14,476.73 × 3,812.73
  4. Step 4: Simplify right side
    9,652.11x = 55,195,843.71
  5. Step 5: Solve for x
    x = 55,195,843.71/9,652.11
  6. Step 6: Final answer
    x = 5,718.53

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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.