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Finding the Fourth Proportional to 9,757.19, 14,635.80 and 2,361.62

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Solution

The fourth proportional to 9,757.19, 14,635.80 and 2,361.62 is: 3,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.19 : 14,635.80 = 2,361.62 : x
  2. Step 2: Convert to fraction form
    9,757.19/14,635.80 = 2,361.62/x
  3. Step 3: Cross multiply
    9,757.19x = 14,635.80 × 2,361.62
  4. Step 4: Simplify right side
    9,757.19x = 34,564,124.82
  5. Step 5: Solve for x
    x = 34,564,124.82/9,757.19
  6. Step 6: Final answer
    x = 3,542.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.