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Finding the Fourth Proportional to 6,509.94, 9,759.43 and 5,274.29

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Solution

The fourth proportional to 6,509.94, 9,759.43 and 5,274.29 is: 7,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.94 : 9,759.43 = 5,274.29 : x
  2. Step 2: Convert to fraction form
    6,509.94/9,759.43 = 5,274.29/x
  3. Step 3: Cross multiply
    6,509.94x = 9,759.43 × 5,274.29
  4. Step 4: Simplify right side
    6,509.94x = 51,474,002.07
  5. Step 5: Solve for x
    x = 51,474,002.07/6,509.94
  6. Step 6: Final answer
    x = 7,906.99

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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.