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Finding the Fourth Proportional to 9,497.35, 14,249.82 and 3,954.52

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Solution

The fourth proportional to 9,497.35, 14,249.82 and 3,954.52 is: 5,933.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.35 : 14,249.82 = 3,954.52 : x
  2. Step 2: Convert to fraction form
    9,497.35/14,249.82 = 3,954.52/x
  3. Step 3: Cross multiply
    9,497.35x = 14,249.82 × 3,954.52
  4. Step 4: Simplify right side
    9,497.35x = 56,351,230.83
  5. Step 5: Solve for x
    x = 56,351,230.83/9,497.35
  6. Step 6: Final answer
    x = 5,933.36

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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.