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Finding the Fourth Proportional to 6,964.17, 10,434.10 and 5,801.64

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Solution

The fourth proportional to 6,964.17, 10,434.10 and 5,801.64 is: 8,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.17 : 10,434.10 = 5,801.64 : x
  2. Step 2: Convert to fraction form
    6,964.17/10,434.10 = 5,801.64/x
  3. Step 3: Cross multiply
    6,964.17x = 10,434.10 × 5,801.64
  4. Step 4: Simplify right side
    6,964.17x = 60,534,891.92
  5. Step 5: Solve for x
    x = 60,534,891.92/6,964.17
  6. Step 6: Final answer
    x = 8,692.33

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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.