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Finding the Fourth Proportional to 9,759.56, 14,642.10 and 3,920.27

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Solution

The fourth proportional to 9,759.56, 14,642.10 and 3,920.27 is: 5,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.56 : 14,642.10 = 3,920.27 : x
  2. Step 2: Convert to fraction form
    9,759.56/14,642.10 = 3,920.27/x
  3. Step 3: Cross multiply
    9,759.56x = 14,642.10 × 3,920.27
  4. Step 4: Simplify right side
    9,759.56x = 57,400,912.16
  5. Step 5: Solve for x
    x = 57,400,912.16/9,759.56
  6. Step 6: Final answer
    x = 5,881.51

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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.