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Finding the Fourth Proportional to 6,364.97, 9,504.59 and 5,197.25

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Solution

The fourth proportional to 6,364.97, 9,504.59 and 5,197.25 is: 7,760.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.97 : 9,504.59 = 5,197.25 : x
  2. Step 2: Convert to fraction form
    6,364.97/9,504.59 = 5,197.25/x
  3. Step 3: Cross multiply
    6,364.97x = 9,504.59 × 5,197.25
  4. Step 4: Simplify right side
    6,364.97x = 49,397,777.53
  5. Step 5: Solve for x
    x = 49,397,777.53/6,364.97
  6. Step 6: Final answer
    x = 7,760.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.