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Finding the Fourth Proportional to 9,756.81, 14,635.23 and 2,361.24

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Solution

The fourth proportional to 9,756.81, 14,635.23 and 2,361.24 is: 3,541.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.81 : 14,635.23 = 2,361.24 : x
  2. Step 2: Convert to fraction form
    9,756.81/14,635.23 = 2,361.24/x
  3. Step 3: Cross multiply
    9,756.81x = 14,635.23 × 2,361.24
  4. Step 4: Simplify right side
    9,756.81x = 34,557,290.49
  5. Step 5: Solve for x
    x = 34,557,290.49/9,756.81
  6. Step 6: Final answer
    x = 3,541.86

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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.