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Finding the Fourth Proportional to 9,121.69, 13,682.53 and 4,195.47

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Solution

The fourth proportional to 9,121.69, 13,682.53 and 4,195.47 is: 6,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.69 : 13,682.53 = 4,195.47 : x
  2. Step 2: Convert to fraction form
    9,121.69/13,682.53 = 4,195.47/x
  3. Step 3: Cross multiply
    9,121.69x = 13,682.53 × 4,195.47
  4. Step 4: Simplify right side
    9,121.69x = 57,404,599.44
  5. Step 5: Solve for x
    x = 57,404,599.44/9,121.69
  6. Step 6: Final answer
    x = 6,293.20

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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.