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Finding the Fourth Proportional to 9,876.22, 13,629.43 and 5,899.62

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Solution

The fourth proportional to 9,876.22, 13,629.43 and 5,899.62 is: 8,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.22 : 13,629.43 = 5,899.62 : x
  2. Step 2: Convert to fraction form
    9,876.22/13,629.43 = 5,899.62/x
  3. Step 3: Cross multiply
    9,876.22x = 13,629.43 × 5,899.62
  4. Step 4: Simplify right side
    9,876.22x = 80,408,457.82
  5. Step 5: Solve for x
    x = 80,408,457.82/9,876.22
  6. Step 6: Final answer
    x = 8,141.62

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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.