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Finding the Fourth Proportional to 9,770.37, 14,655.08 and 3,195.69

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Solution

The fourth proportional to 9,770.37, 14,655.08 and 3,195.69 is: 4,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.37 : 14,655.08 = 3,195.69 : x
  2. Step 2: Convert to fraction form
    9,770.37/14,655.08 = 3,195.69/x
  3. Step 3: Cross multiply
    9,770.37x = 14,655.08 × 3,195.69
  4. Step 4: Simplify right side
    9,770.37x = 46,833,100.59
  5. Step 5: Solve for x
    x = 46,833,100.59/9,770.37
  6. Step 6: Final answer
    x = 4,793.38

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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.