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Finding the Fourth Proportional to 9,252.26, 13,878.49 and 7,401

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Solution

The fourth proportional to 9,252.26, 13,878.49 and 7,401 is: 11,101.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.26 : 13,878.49 = 7,401 : x
  2. Step 2: Convert to fraction form
    9,252.26/13,878.49 = 7,401/x
  3. Step 3: Cross multiply
    9,252.26x = 13,878.49 × 7,401
  4. Step 4: Simplify right side
    9,252.26x = 102,714,704.49
  5. Step 5: Solve for x
    x = 102,714,704.49/9,252.26
  6. Step 6: Final answer
    x = 11,101.58

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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.