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Finding the Fourth Proportional to 9,205.32, 13,808.88 and 3,657.43

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Solution

The fourth proportional to 9,205.32, 13,808.88 and 3,657.43 is: 5,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.32 : 13,808.88 = 3,657.43 : x
  2. Step 2: Convert to fraction form
    9,205.32/13,808.88 = 3,657.43/x
  3. Step 3: Cross multiply
    9,205.32x = 13,808.88 × 3,657.43
  4. Step 4: Simplify right side
    9,205.32x = 50,504,990.40
  5. Step 5: Solve for x
    x = 50,504,990.40/9,205.32
  6. Step 6: Final answer
    x = 5,486.50

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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.