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Finding the Fourth Proportional to 6,534.26, 9,801.40 and 3,936.60

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Solution

The fourth proportional to 6,534.26, 9,801.40 and 3,936.60 is: 5,904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.26 : 9,801.40 = 3,936.60 : x
  2. Step 2: Convert to fraction form
    6,534.26/9,801.40 = 3,936.60/x
  3. Step 3: Cross multiply
    6,534.26x = 9,801.40 × 3,936.60
  4. Step 4: Simplify right side
    6,534.26x = 38,584,191.24
  5. Step 5: Solve for x
    x = 38,584,191.24/6,534.26
  6. Step 6: Final answer
    x = 5,904.91

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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.