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Finding the Fourth Proportional to 12,097.42, 16,693.51 and 6,791.20

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Solution

The fourth proportional to 12,097.42, 16,693.51 and 6,791.20 is: 9,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.42 : 16,693.51 = 6,791.20 : x
  2. Step 2: Convert to fraction form
    12,097.42/16,693.51 = 6,791.20/x
  3. Step 3: Cross multiply
    12,097.42x = 16,693.51 × 6,791.20
  4. Step 4: Simplify right side
    12,097.42x = 113,368,965.11
  5. Step 5: Solve for x
    x = 113,368,965.11/12,097.42
  6. Step 6: Final answer
    x = 9,371.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.