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Finding the Fourth Proportional to 9,204.90, 13,809.15 and 3,657.30

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Solution

The fourth proportional to 9,204.90, 13,809.15 and 3,657.30 is: 5,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.90 : 13,809.15 = 3,657.30 : x
  2. Step 2: Convert to fraction form
    9,204.90/13,809.15 = 3,657.30/x
  3. Step 3: Cross multiply
    9,204.90x = 13,809.15 × 3,657.30
  4. Step 4: Simplify right side
    9,204.90x = 50,504,204.30
  5. Step 5: Solve for x
    x = 50,504,204.30/9,204.90
  6. Step 6: Final answer
    x = 5,486.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.