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Finding the Fourth Proportional to 9,695.73, 13,375.89 and 6,108.51

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Solution

The fourth proportional to 9,695.73, 13,375.89 and 6,108.51 is: 8,427.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.73 : 13,375.89 = 6,108.51 : x
  2. Step 2: Convert to fraction form
    9,695.73/13,375.89 = 6,108.51/x
  3. Step 3: Cross multiply
    9,695.73x = 13,375.89 × 6,108.51
  4. Step 4: Simplify right side
    9,695.73x = 81,706,757.82
  5. Step 5: Solve for x
    x = 81,706,757.82/9,695.73
  6. Step 6: Final answer
    x = 8,427.09

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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.