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Finding the Fourth Proportional to 7,138.36, 9,851.70 and 3,994.84

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Solution

The fourth proportional to 7,138.36, 9,851.70 and 3,994.84 is: 5,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.36 : 9,851.70 = 3,994.84 : x
  2. Step 2: Convert to fraction form
    7,138.36/9,851.70 = 3,994.84/x
  3. Step 3: Cross multiply
    7,138.36x = 9,851.70 × 3,994.84
  4. Step 4: Simplify right side
    7,138.36x = 39,355,965.23
  5. Step 5: Solve for x
    x = 39,355,965.23/7,138.36
  6. Step 6: Final answer
    x = 5,513.31

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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.