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Finding the Fourth Proportional to 9,141.71, 13,712.57 and 2,216.21

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Solution

The fourth proportional to 9,141.71, 13,712.57 and 2,216.21 is: 3,324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.71 : 13,712.57 = 2,216.21 : x
  2. Step 2: Convert to fraction form
    9,141.71/13,712.57 = 2,216.21/x
  3. Step 3: Cross multiply
    9,141.71x = 13,712.57 × 2,216.21
  4. Step 4: Simplify right side
    9,141.71x = 30,389,953.03
  5. Step 5: Solve for x
    x = 30,389,953.03/9,141.71
  6. Step 6: Final answer
    x = 3,324.32

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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.