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Finding the Fourth Proportional to 9,329.82, 13,994.58 and 3,406.68

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Solution

The fourth proportional to 9,329.82, 13,994.58 and 3,406.68 is: 5,109.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.82 : 13,994.58 = 3,406.68 : x
  2. Step 2: Convert to fraction form
    9,329.82/13,994.58 = 3,406.68/x
  3. Step 3: Cross multiply
    9,329.82x = 13,994.58 × 3,406.68
  4. Step 4: Simplify right side
    9,329.82x = 47,675,046.88
  5. Step 5: Solve for x
    x = 47,675,046.88/9,329.82
  6. Step 6: Final answer
    x = 5,109.96

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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.