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Finding the Fourth Proportional to 6,995.85, 9,654.26 and 3,852.03

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Solution

The fourth proportional to 6,995.85, 9,654.26 and 3,852.03 is: 5,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.85 : 9,654.26 = 3,852.03 : x
  2. Step 2: Convert to fraction form
    6,995.85/9,654.26 = 3,852.03/x
  3. Step 3: Cross multiply
    6,995.85x = 9,654.26 × 3,852.03
  4. Step 4: Simplify right side
    6,995.85x = 37,188,479.89
  5. Step 5: Solve for x
    x = 37,188,479.89/6,995.85
  6. Step 6: Final answer
    x = 5,315.79

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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.