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Finding the Fourth Proportional to 9,726.52, 13,394.35 and 8,449.82

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Solution

The fourth proportional to 9,726.52, 13,394.35 and 8,449.82 is: 11,636.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.52 : 13,394.35 = 8,449.82 : x
  2. Step 2: Convert to fraction form
    9,726.52/13,394.35 = 8,449.82/x
  3. Step 3: Cross multiply
    9,726.52x = 13,394.35 × 8,449.82
  4. Step 4: Simplify right side
    9,726.52x = 113,179,846.52
  5. Step 5: Solve for x
    x = 113,179,846.52/9,726.52
  6. Step 6: Final answer
    x = 11,636.21

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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.