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Finding the Fourth Proportional to 9,770.60, 13,483.68 and 5,995.86

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Solution

The fourth proportional to 9,770.60, 13,483.68 and 5,995.86 is: 8,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.60 : 13,483.68 = 5,995.86 : x
  2. Step 2: Convert to fraction form
    9,770.60/13,483.68 = 5,995.86/x
  3. Step 3: Cross multiply
    9,770.60x = 13,483.68 × 5,995.86
  4. Step 4: Simplify right side
    9,770.60x = 80,846,229.49
  5. Step 5: Solve for x
    x = 80,846,229.49/9,770.60
  6. Step 6: Final answer
    x = 8,274.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.