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Finding the Fourth Proportional to 6,097.60, 9,146.22 and 1,937.80

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Solution

The fourth proportional to 6,097.60, 9,146.22 and 1,937.80 is: 2,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.60 : 9,146.22 = 1,937.80 : x
  2. Step 2: Convert to fraction form
    6,097.60/9,146.22 = 1,937.80/x
  3. Step 3: Cross multiply
    6,097.60x = 9,146.22 × 1,937.80
  4. Step 4: Simplify right side
    6,097.60x = 17,723,545.12
  5. Step 5: Solve for x
    x = 17,723,545.12/6,097.60
  6. Step 6: Final answer
    x = 2,906.64

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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.