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Finding the Fourth Proportional to 6,097.03, 9,144.60 and 1,936.50

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Solution

The fourth proportional to 6,097.03, 9,144.60 and 1,936.50 is: 2,904.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.03 : 9,144.60 = 1,936.50 : x
  2. Step 2: Convert to fraction form
    6,097.03/9,144.60 = 1,936.50/x
  3. Step 3: Cross multiply
    6,097.03x = 9,144.60 × 1,936.50
  4. Step 4: Simplify right side
    6,097.03x = 17,708,517.90
  5. Step 5: Solve for x
    x = 17,708,517.90/6,097.03
  6. Step 6: Final answer
    x = 2,904.45

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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.