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Finding the Fourth Proportional to 6,461.76, 9,692.67 and 2,301.93

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Solution

The fourth proportional to 6,461.76, 9,692.67 and 2,301.93 is: 3,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.76 : 9,692.67 = 2,301.93 : x
  2. Step 2: Convert to fraction form
    6,461.76/9,692.67 = 2,301.93/x
  3. Step 3: Cross multiply
    6,461.76x = 9,692.67 × 2,301.93
  4. Step 4: Simplify right side
    6,461.76x = 22,311,847.85
  5. Step 5: Solve for x
    x = 22,311,847.85/6,461.76
  6. Step 6: Final answer
    x = 3,452.91

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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.