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Finding the Fourth Proportional to 9,044.54, 13,571.16 and 3,203.90

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Solution

The fourth proportional to 9,044.54, 13,571.16 and 3,203.90 is: 4,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,044.54 : 13,571.16 = 3,203.90 : x
  2. Step 2: Convert to fraction form
    9,044.54/13,571.16 = 3,203.90/x
  3. Step 3: Cross multiply
    9,044.54x = 13,571.16 × 3,203.90
  4. Step 4: Simplify right side
    9,044.54x = 43,480,639.52
  5. Step 5: Solve for x
    x = 43,480,639.52/9,044.54
  6. Step 6: Final answer
    x = 4,807.39

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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.