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Finding the Fourth Proportional to 9,770.14, 14,652.10 and 3,194.56

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Solution

The fourth proportional to 9,770.14, 14,652.10 and 3,194.56 is: 4,790.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.14 : 14,652.10 = 3,194.56 : x
  2. Step 2: Convert to fraction form
    9,770.14/14,652.10 = 3,194.56/x
  3. Step 3: Cross multiply
    9,770.14x = 14,652.10 × 3,194.56
  4. Step 4: Simplify right side
    9,770.14x = 46,807,012.58
  5. Step 5: Solve for x
    x = 46,807,012.58/9,770.14
  6. Step 6: Final answer
    x = 4,790.82

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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.