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Finding the Fourth Proportional to 9,201.88, 13,808.46 and 3,657.88

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Solution

The fourth proportional to 9,201.88, 13,808.46 and 3,657.88 is: 5,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.88 : 13,808.46 = 3,657.88 : x
  2. Step 2: Convert to fraction form
    9,201.88/13,808.46 = 3,657.88/x
  3. Step 3: Cross multiply
    9,201.88x = 13,808.46 × 3,657.88
  4. Step 4: Simplify right side
    9,201.88x = 50,509,689.66
  5. Step 5: Solve for x
    x = 50,509,689.66/9,201.88
  6. Step 6: Final answer
    x = 5,489.06

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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.