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Finding the Fourth Proportional to 9,842.67, 14,765.90 and 3,180.96

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Solution

The fourth proportional to 9,842.67, 14,765.90 and 3,180.96 is: 4,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.67 : 14,765.90 = 3,180.96 : x
  2. Step 2: Convert to fraction form
    9,842.67/14,765.90 = 3,180.96/x
  3. Step 3: Cross multiply
    9,842.67x = 14,765.90 × 3,180.96
  4. Step 4: Simplify right side
    9,842.67x = 46,969,737.26
  5. Step 5: Solve for x
    x = 46,969,737.26/9,842.67
  6. Step 6: Final answer
    x = 4,772.05

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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.