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Finding the Fourth Proportional to 9,321.02, 13,976.75 and 3,772.88

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Solution

The fourth proportional to 9,321.02, 13,976.75 and 3,772.88 is: 5,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.02 : 13,976.75 = 3,772.88 : x
  2. Step 2: Convert to fraction form
    9,321.02/13,976.75 = 3,772.88/x
  3. Step 3: Cross multiply
    9,321.02x = 13,976.75 × 3,772.88
  4. Step 4: Simplify right side
    9,321.02x = 52,732,592.50
  5. Step 5: Solve for x
    x = 52,732,592.50/9,321.02
  6. Step 6: Final answer
    x = 5,657.38

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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.