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Finding the Fourth Proportional to 9,459.10, 13,049.64 and 5,629.97

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Solution

The fourth proportional to 9,459.10, 13,049.64 and 5,629.97 is: 7,767.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459.10 : 13,049.64 = 5,629.97 : x
  2. Step 2: Convert to fraction form
    9,459.10/13,049.64 = 5,629.97/x
  3. Step 3: Cross multiply
    9,459.10x = 13,049.64 × 5,629.97
  4. Step 4: Simplify right side
    9,459.10x = 73,469,081.71
  5. Step 5: Solve for x
    x = 73,469,081.71/9,459.10
  6. Step 6: Final answer
    x = 7,767.03

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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.