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Finding the Fourth Proportional to 6,965.20, 10,447.05 and 1,967.45

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Solution

The fourth proportional to 6,965.20, 10,447.05 and 1,967.45 is: 2,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.20 : 10,447.05 = 1,967.45 : x
  2. Step 2: Convert to fraction form
    6,965.20/10,447.05 = 1,967.45/x
  3. Step 3: Cross multiply
    6,965.20x = 10,447.05 × 1,967.45
  4. Step 4: Simplify right side
    6,965.20x = 20,554,048.52
  5. Step 5: Solve for x
    x = 20,554,048.52/6,965.20
  6. Step 6: Final answer
    x = 2,950.96

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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.