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Finding the Fourth Proportional to 6,097.42, 9,142.86 and 1,936.30

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Solution

The fourth proportional to 6,097.42, 9,142.86 and 1,936.30 is: 2,903.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.42 : 9,142.86 = 1,936.30 : x
  2. Step 2: Convert to fraction form
    6,097.42/9,142.86 = 1,936.30/x
  3. Step 3: Cross multiply
    6,097.42x = 9,142.86 × 1,936.30
  4. Step 4: Simplify right side
    6,097.42x = 17,703,319.82
  5. Step 5: Solve for x
    x = 17,703,319.82/6,097.42
  6. Step 6: Final answer
    x = 2,903.41

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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.