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Finding the Fourth Proportional to 9,141.66, 13,709.41 and 3,218.31

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Solution

The fourth proportional to 9,141.66, 13,709.41 and 3,218.31 is: 4,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.66 : 13,709.41 = 3,218.31 : x
  2. Step 2: Convert to fraction form
    9,141.66/13,709.41 = 3,218.31/x
  3. Step 3: Cross multiply
    9,141.66x = 13,709.41 × 3,218.31
  4. Step 4: Simplify right side
    9,141.66x = 44,121,107.32
  5. Step 5: Solve for x
    x = 44,121,107.32/9,141.66
  6. Step 6: Final answer
    x = 4,826.38

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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.