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Finding the Fourth Proportional to 9,297.68, 13,952.10 and 4,918.28

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Solution

The fourth proportional to 9,297.68, 13,952.10 and 4,918.28 is: 7,380.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.68 : 13,952.10 = 4,918.28 : x
  2. Step 2: Convert to fraction form
    9,297.68/13,952.10 = 4,918.28/x
  3. Step 3: Cross multiply
    9,297.68x = 13,952.10 × 4,918.28
  4. Step 4: Simplify right side
    9,297.68x = 68,620,334.39
  5. Step 5: Solve for x
    x = 68,620,334.39/9,297.68
  6. Step 6: Final answer
    x = 7,380.37

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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.