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Finding the Fourth Proportional to 6,171.53, 9,259.45 and 1,789.25

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Solution

The fourth proportional to 6,171.53, 9,259.45 and 1,789.25 is: 2,684.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.53 : 9,259.45 = 1,789.25 : x
  2. Step 2: Convert to fraction form
    6,171.53/9,259.45 = 1,789.25/x
  3. Step 3: Cross multiply
    6,171.53x = 9,259.45 × 1,789.25
  4. Step 4: Simplify right side
    6,171.53x = 16,567,420.14
  5. Step 5: Solve for x
    x = 16,567,420.14/6,171.53
  6. Step 6: Final answer
    x = 2,684.49

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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.