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Finding the Fourth Proportional to 9,842.63, 14,766.82 and 2,917.31

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Solution

The fourth proportional to 9,842.63, 14,766.82 and 2,917.31 is: 4,376.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.63 : 14,766.82 = 2,917.31 : x
  2. Step 2: Convert to fraction form
    9,842.63/14,766.82 = 2,917.31/x
  3. Step 3: Cross multiply
    9,842.63x = 14,766.82 × 2,917.31
  4. Step 4: Simplify right side
    9,842.63x = 43,079,310.53
  5. Step 5: Solve for x
    x = 43,079,310.53/9,842.63
  6. Step 6: Final answer
    x = 4,376.81

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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.