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Finding the Fourth Proportional to 6,157.48, 9,196.93 and 5,571.58

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Solution

The fourth proportional to 6,157.48, 9,196.93 and 5,571.58 is: 8,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.48 : 9,196.93 = 5,571.58 : x
  2. Step 2: Convert to fraction form
    6,157.48/9,196.93 = 5,571.58/x
  3. Step 3: Cross multiply
    6,157.48x = 9,196.93 × 5,571.58
  4. Step 4: Simplify right side
    6,157.48x = 51,241,431.25
  5. Step 5: Solve for x
    x = 51,241,431.25/6,157.48
  6. Step 6: Final answer
    x = 8,321.82

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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.