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Finding the Fourth Proportional to 9,994.42, 13,792.14 and 5,745.70

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Solution

The fourth proportional to 9,994.42, 13,792.14 and 5,745.70 is: 7,928.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,994.42 : 13,792.14 = 5,745.70 : x
  2. Step 2: Convert to fraction form
    9,994.42/13,792.14 = 5,745.70/x
  3. Step 3: Cross multiply
    9,994.42x = 13,792.14 × 5,745.70
  4. Step 4: Simplify right side
    9,994.42x = 79,245,498.80
  5. Step 5: Solve for x
    x = 79,245,498.80/9,994.42
  6. Step 6: Final answer
    x = 7,928.97

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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.