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Finding the Fourth Proportional to 9,770.42, 14,652.56 and 3,195.07

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Solution

The fourth proportional to 9,770.42, 14,652.56 and 3,195.07 is: 4,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.42 : 14,652.56 = 3,195.07 : x
  2. Step 2: Convert to fraction form
    9,770.42/14,652.56 = 3,195.07/x
  3. Step 3: Cross multiply
    9,770.42x = 14,652.56 × 3,195.07
  4. Step 4: Simplify right side
    9,770.42x = 46,815,953.97
  5. Step 5: Solve for x
    x = 46,815,953.97/9,770.42
  6. Step 6: Final answer
    x = 4,791.60

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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.