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Finding the Fourth Proportional to 6,461.15, 9,692.03 and 2,301.20

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Solution

The fourth proportional to 6,461.15, 9,692.03 and 2,301.20 is: 3,451.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.15 : 9,692.03 = 2,301.20 : x
  2. Step 2: Convert to fraction form
    6,461.15/9,692.03 = 2,301.20/x
  3. Step 3: Cross multiply
    6,461.15x = 9,692.03 × 2,301.20
  4. Step 4: Simplify right side
    6,461.15x = 22,303,250.98
  5. Step 5: Solve for x
    x = 22,303,250.98/6,461.15
  6. Step 6: Final answer
    x = 3,451.90

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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.