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Finding the Fourth Proportional to 9,141.63, 13,712.42 and 2,216.13

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Solution

The fourth proportional to 9,141.63, 13,712.42 and 2,216.13 is: 3,324.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.63 : 13,712.42 = 2,216.13 : x
  2. Step 2: Convert to fraction form
    9,141.63/13,712.42 = 2,216.13/x
  3. Step 3: Cross multiply
    9,141.63x = 13,712.42 × 2,216.13
  4. Step 4: Simplify right side
    9,141.63x = 30,388,459.45
  5. Step 5: Solve for x
    x = 30,388,459.45/9,141.63
  6. Step 6: Final answer
    x = 3,324.19

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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.