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Finding the Fourth Proportional to 9,661.25, 14,496.04 and 5,218.03

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Solution

The fourth proportional to 9,661.25, 14,496.04 and 5,218.03 is: 7,829.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.25 : 14,496.04 = 5,218.03 : x
  2. Step 2: Convert to fraction form
    9,661.25/14,496.04 = 5,218.03/x
  3. Step 3: Cross multiply
    9,661.25x = 14,496.04 × 5,218.03
  4. Step 4: Simplify right side
    9,661.25x = 75,640,810.92
  5. Step 5: Solve for x
    x = 75,640,810.92/9,661.25
  6. Step 6: Final answer
    x = 7,829.30

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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.