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Finding the Fourth Proportional to 9,845.51, 14,766.89 and 2,826.14

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Solution

The fourth proportional to 9,845.51, 14,766.89 and 2,826.14 is: 4,238.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.51 : 14,766.89 = 2,826.14 : x
  2. Step 2: Convert to fraction form
    9,845.51/14,766.89 = 2,826.14/x
  3. Step 3: Cross multiply
    9,845.51x = 14,766.89 × 2,826.14
  4. Step 4: Simplify right side
    9,845.51x = 41,733,210.54
  5. Step 5: Solve for x
    x = 41,733,210.54/9,845.51
  6. Step 6: Final answer
    x = 4,238.81

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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.