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Finding the Fourth Proportional to 6,461.51, 9,692.33 and 5,171.18

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Solution

The fourth proportional to 6,461.51, 9,692.33 and 5,171.18 is: 7,756.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.51 : 9,692.33 = 5,171.18 : x
  2. Step 2: Convert to fraction form
    6,461.51/9,692.33 = 5,171.18/x
  3. Step 3: Cross multiply
    6,461.51x = 9,692.33 × 5,171.18
  4. Step 4: Simplify right side
    6,461.51x = 50,120,708.73
  5. Step 5: Solve for x
    x = 50,120,708.73/6,461.51
  6. Step 6: Final answer
    x = 7,756.82

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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.