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Finding the Fourth Proportional to 6,133.91, 9,203.57 and 4,759.19

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Solution

The fourth proportional to 6,133.91, 9,203.57 and 4,759.19 is: 7,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.91 : 9,203.57 = 4,759.19 : x
  2. Step 2: Convert to fraction form
    6,133.91/9,203.57 = 4,759.19/x
  3. Step 3: Cross multiply
    6,133.91x = 9,203.57 × 4,759.19
  4. Step 4: Simplify right side
    6,133.91x = 43,801,538.31
  5. Step 5: Solve for x
    x = 43,801,538.31/6,133.91
  6. Step 6: Final answer
    x = 7,140.88

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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.