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Finding the Fourth Proportional to 9,599.49, 14,399.22 and 3,752

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Solution

The fourth proportional to 9,599.49, 14,399.22 and 3,752 is: 5,627.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.49 : 14,399.22 = 3,752 : x
  2. Step 2: Convert to fraction form
    9,599.49/14,399.22 = 3,752/x
  3. Step 3: Cross multiply
    9,599.49x = 14,399.22 × 3,752
  4. Step 4: Simplify right side
    9,599.49x = 54,025,873.44
  5. Step 5: Solve for x
    x = 54,025,873.44/9,599.49
  6. Step 6: Final answer
    x = 5,627.99

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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.