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Finding the Fourth Proportional to 9,472.56, 14,206.08 and 3,626

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Solution

The fourth proportional to 9,472.56, 14,206.08 and 3,626 is: 5,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.56 : 14,206.08 = 3,626 : x
  2. Step 2: Convert to fraction form
    9,472.56/14,206.08 = 3,626/x
  3. Step 3: Cross multiply
    9,472.56x = 14,206.08 × 3,626
  4. Step 4: Simplify right side
    9,472.56x = 51,511,246.08
  5. Step 5: Solve for x
    x = 51,511,246.08/9,472.56
  6. Step 6: Final answer
    x = 5,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.