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Finding the Fourth Proportional to 7,167.29, 9,892.96 and 4,780.73

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Solution

The fourth proportional to 7,167.29, 9,892.96 and 4,780.73 is: 6,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.29 : 9,892.96 = 4,780.73 : x
  2. Step 2: Convert to fraction form
    7,167.29/9,892.96 = 4,780.73/x
  3. Step 3: Cross multiply
    7,167.29x = 9,892.96 × 4,780.73
  4. Step 4: Simplify right side
    7,167.29x = 47,295,583.44
  5. Step 5: Solve for x
    x = 47,295,583.44/7,167.29
  6. Step 6: Final answer
    x = 6,598.81

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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.