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Finding the Fourth Proportional to 9,445.36, 13,027.97 and 8,184.18

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Solution

The fourth proportional to 9,445.36, 13,027.97 and 8,184.18 is: 11,288.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.36 : 13,027.97 = 8,184.18 : x
  2. Step 2: Convert to fraction form
    9,445.36/13,027.97 = 8,184.18/x
  3. Step 3: Cross multiply
    9,445.36x = 13,027.97 × 8,184.18
  4. Step 4: Simplify right side
    9,445.36x = 106,623,251.51
  5. Step 5: Solve for x
    x = 106,623,251.51/9,445.36
  6. Step 6: Final answer
    x = 11,288.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.