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Finding the Fourth Proportional to 9,264.24, 13,893.12 and 5,392.44

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Solution

The fourth proportional to 9,264.24, 13,893.12 and 5,392.44 is: 8,086.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.24 : 13,893.12 = 5,392.44 : x
  2. Step 2: Convert to fraction form
    9,264.24/13,893.12 = 5,392.44/x
  3. Step 3: Cross multiply
    9,264.24x = 13,893.12 × 5,392.44
  4. Step 4: Simplify right side
    9,264.24x = 74,917,816.01
  5. Step 5: Solve for x
    x = 74,917,816.01/9,264.24
  6. Step 6: Final answer
    x = 8,086.77

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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.