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Finding the Fourth Proportional to 9,468.38, 13,066.94 and 5,219.44

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Solution

The fourth proportional to 9,468.38, 13,066.94 and 5,219.44 is: 7,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.38 : 13,066.94 = 5,219.44 : x
  2. Step 2: Convert to fraction form
    9,468.38/13,066.94 = 5,219.44/x
  3. Step 3: Cross multiply
    9,468.38x = 13,066.94 × 5,219.44
  4. Step 4: Simplify right side
    9,468.38x = 68,202,017.88
  5. Step 5: Solve for x
    x = 68,202,017.88/9,468.38
  6. Step 6: Final answer
    x = 7,203.13

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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.