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Finding the Fourth Proportional to 9,202.64, 13,804.79 and 2,963.21

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Solution

The fourth proportional to 9,202.64, 13,804.79 and 2,963.21 is: 4,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.64 : 13,804.79 = 2,963.21 : x
  2. Step 2: Convert to fraction form
    9,202.64/13,804.79 = 2,963.21/x
  3. Step 3: Cross multiply
    9,202.64x = 13,804.79 × 2,963.21
  4. Step 4: Simplify right side
    9,202.64x = 40,906,407.94
  5. Step 5: Solve for x
    x = 40,906,407.94/9,202.64
  6. Step 6: Final answer
    x = 4,445.08

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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.