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Finding the Fourth Proportional to 9,443.52, 13,034.25 and 5,466.96

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Solution

The fourth proportional to 9,443.52, 13,034.25 and 5,466.96 is: 7,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.52 : 13,034.25 = 5,466.96 : x
  2. Step 2: Convert to fraction form
    9,443.52/13,034.25 = 5,466.96/x
  3. Step 3: Cross multiply
    9,443.52x = 13,034.25 × 5,466.96
  4. Step 4: Simplify right side
    9,443.52x = 71,257,723.38
  5. Step 5: Solve for x
    x = 71,257,723.38/9,443.52
  6. Step 6: Final answer
    x = 7,545.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.