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Finding the Fourth Proportional to 7,138.97, 9,852.05 and 3,995.18

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Solution

The fourth proportional to 7,138.97, 9,852.05 and 3,995.18 is: 5,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.97 : 9,852.05 = 3,995.18 : x
  2. Step 2: Convert to fraction form
    7,138.97/9,852.05 = 3,995.18/x
  3. Step 3: Cross multiply
    7,138.97x = 9,852.05 × 3,995.18
  4. Step 4: Simplify right side
    7,138.97x = 39,360,713.12
  5. Step 5: Solve for x
    x = 39,360,713.12/7,138.97
  6. Step 6: Final answer
    x = 5,513.50

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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.