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Finding the Fourth Proportional to 9,238.56, 13,835.52 and 6,468

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Solution

The fourth proportional to 9,238.56, 13,835.52 and 6,468 is: 9,686.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.56 : 13,835.52 = 6,468 : x
  2. Step 2: Convert to fraction form
    9,238.56/13,835.52 = 6,468/x
  3. Step 3: Cross multiply
    9,238.56x = 13,835.52 × 6,468
  4. Step 4: Simplify right side
    9,238.56x = 89,488,143.36
  5. Step 5: Solve for x
    x = 89,488,143.36/9,238.56
  6. Step 6: Final answer
    x = 9,686.37

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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.