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Finding the Fourth Proportional to 9,120.32, 13,672.48 and 3,196.25

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Solution

The fourth proportional to 9,120.32, 13,672.48 and 3,196.25 is: 4,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.32 : 13,672.48 = 3,196.25 : x
  2. Step 2: Convert to fraction form
    9,120.32/13,672.48 = 3,196.25/x
  3. Step 3: Cross multiply
    9,120.32x = 13,672.48 × 3,196.25
  4. Step 4: Simplify right side
    9,120.32x = 43,700,664.20
  5. Step 5: Solve for x
    x = 43,700,664.20/9,120.32
  6. Step 6: Final answer
    x = 4,791.57

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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.