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Finding the Fourth Proportional to 9,202.86, 13,802.31 and 2,627.28

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Solution

The fourth proportional to 9,202.86, 13,802.31 and 2,627.28 is: 3,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.86 : 13,802.31 = 2,627.28 : x
  2. Step 2: Convert to fraction form
    9,202.86/13,802.31 = 2,627.28/x
  3. Step 3: Cross multiply
    9,202.86x = 13,802.31 × 2,627.28
  4. Step 4: Simplify right side
    9,202.86x = 36,262,533.02
  5. Step 5: Solve for x
    x = 36,262,533.02/9,202.86
  6. Step 6: Final answer
    x = 3,940.35

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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.