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Finding the Fourth Proportional to 9,578.38, 13,226.88 and 7,216.42

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Solution

The fourth proportional to 9,578.38, 13,226.88 and 7,216.42 is: 9,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.38 : 13,226.88 = 7,216.42 : x
  2. Step 2: Convert to fraction form
    9,578.38/13,226.88 = 7,216.42/x
  3. Step 3: Cross multiply
    9,578.38x = 13,226.88 × 7,216.42
  4. Step 4: Simplify right side
    9,578.38x = 95,450,721.37
  5. Step 5: Solve for x
    x = 95,450,721.37/9,578.38
  6. Step 6: Final answer
    x = 9,965.23

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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.