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Finding the Fourth Proportional to 6,571.26, 9,813.56 and 5,845.50

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Solution

The fourth proportional to 6,571.26, 9,813.56 and 5,845.50 is: 8,729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.26 : 9,813.56 = 5,845.50 : x
  2. Step 2: Convert to fraction form
    6,571.26/9,813.56 = 5,845.50/x
  3. Step 3: Cross multiply
    6,571.26x = 9,813.56 × 5,845.50
  4. Step 4: Simplify right side
    6,571.26x = 57,365,135.75
  5. Step 5: Solve for x
    x = 57,365,135.75/6,571.26
  6. Step 6: Final answer
    x = 8,729.70

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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.