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Finding the Fourth Proportional to 6,901.62, 9,524.16 and 3,757.80

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Solution

The fourth proportional to 6,901.62, 9,524.16 and 3,757.80 is: 5,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.62 : 9,524.16 = 3,757.80 : x
  2. Step 2: Convert to fraction form
    6,901.62/9,524.16 = 3,757.80/x
  3. Step 3: Cross multiply
    6,901.62x = 9,524.16 × 3,757.80
  4. Step 4: Simplify right side
    6,901.62x = 35,789,888.45
  5. Step 5: Solve for x
    x = 35,789,888.45/6,901.62
  6. Step 6: Final answer
    x = 5,185.72

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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.