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Finding the Fourth Proportional to 6,530.07, 9,012.87 and 4,171.80

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Solution

The fourth proportional to 6,530.07, 9,012.87 and 4,171.80 is: 5,757.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.07 : 9,012.87 = 4,171.80 : x
  2. Step 2: Convert to fraction form
    6,530.07/9,012.87 = 4,171.80/x
  3. Step 3: Cross multiply
    6,530.07x = 9,012.87 × 4,171.80
  4. Step 4: Simplify right side
    6,530.07x = 37,599,891.07
  5. Step 5: Solve for x
    x = 37,599,891.07/6,530.07
  6. Step 6: Final answer
    x = 5,757.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.