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Finding the Fourth Proportional to 7,097.18, 9,791.44 and 4,111.92

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Solution

The fourth proportional to 7,097.18, 9,791.44 and 4,111.92 is: 5,672.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.18 : 9,791.44 = 4,111.92 : x
  2. Step 2: Convert to fraction form
    7,097.18/9,791.44 = 4,111.92/x
  3. Step 3: Cross multiply
    7,097.18x = 9,791.44 × 4,111.92
  4. Step 4: Simplify right side
    7,097.18x = 40,261,617.96
  5. Step 5: Solve for x
    x = 40,261,617.96/7,097.18
  6. Step 6: Final answer
    x = 5,672.90

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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.