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Finding the Fourth Proportional to 9,767.21, 14,654.90 and 6,072.55

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Solution

The fourth proportional to 9,767.21, 14,654.90 and 6,072.55 is: 9,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.21 : 14,654.90 = 6,072.55 : x
  2. Step 2: Convert to fraction form
    9,767.21/14,654.90 = 6,072.55/x
  3. Step 3: Cross multiply
    9,767.21x = 14,654.90 × 6,072.55
  4. Step 4: Simplify right side
    9,767.21x = 88,992,591.54
  5. Step 5: Solve for x
    x = 88,992,591.54/9,767.21
  6. Step 6: Final answer
    x = 9,111.37

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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.