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Finding the Fourth Proportional to 9,466.54, 13,063.82 and 5,489.96

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Solution

The fourth proportional to 9,466.54, 13,063.82 and 5,489.96 is: 7,576.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.54 : 13,063.82 = 5,489.96 : x
  2. Step 2: Convert to fraction form
    9,466.54/13,063.82 = 5,489.96/x
  3. Step 3: Cross multiply
    9,466.54x = 13,063.82 × 5,489.96
  4. Step 4: Simplify right side
    9,466.54x = 71,719,783.93
  5. Step 5: Solve for x
    x = 71,719,783.93/9,466.54
  6. Step 6: Final answer
    x = 7,576.14

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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.