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Finding the Fourth Proportional to 9,592.52, 13,238.24 and 6,400.32

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Solution

The fourth proportional to 9,592.52, 13,238.24 and 6,400.32 is: 8,832.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,592.52 : 13,238.24 = 6,400.32 : x
  2. Step 2: Convert to fraction form
    9,592.52/13,238.24 = 6,400.32/x
  3. Step 3: Cross multiply
    9,592.52x = 13,238.24 × 6,400.32
  4. Step 4: Simplify right side
    9,592.52x = 84,728,972.24
  5. Step 5: Solve for x
    x = 84,728,972.24/9,592.52
  6. Step 6: Final answer
    x = 8,832.82

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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.