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Finding the Fourth Proportional to 9,202.39, 13,802.04 and 2,627.08

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Solution

The fourth proportional to 9,202.39, 13,802.04 and 2,627.08 is: 3,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.39 : 13,802.04 = 2,627.08 : x
  2. Step 2: Convert to fraction form
    9,202.39/13,802.04 = 2,627.08/x
  3. Step 3: Cross multiply
    9,202.39x = 13,802.04 × 2,627.08
  4. Step 4: Simplify right side
    9,202.39x = 36,259,063.24
  5. Step 5: Solve for x
    x = 36,259,063.24/9,202.39
  6. Step 6: Final answer
    x = 3,940.18

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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.