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Finding the Fourth Proportional to 9,086.37, 13,635.32 and 4,703.82

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Solution

The fourth proportional to 9,086.37, 13,635.32 and 4,703.82 is: 7,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.37 : 13,635.32 = 4,703.82 : x
  2. Step 2: Convert to fraction form
    9,086.37/13,635.32 = 4,703.82/x
  3. Step 3: Cross multiply
    9,086.37x = 13,635.32 × 4,703.82
  4. Step 4: Simplify right side
    9,086.37x = 64,138,067.40
  5. Step 5: Solve for x
    x = 64,138,067.40/9,086.37
  6. Step 6: Final answer
    x = 7,058.71

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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.